Quiz: Domain and range word problems (mathematics - math - algrebra


Domain and range word problemsOnline version qUiZ. qUiZ. qUiZ. qUiZ. qUiZ by Tracy Phạm 1 The total cost that a farmer has to pay for space at a local farmer's market can be found using the function c(t) = 40t + 50, where t is the number of the tables that the farmer rents for the day, If a farmer rents at least 3 tables but not more than 7 tables. What is the domain of the function for this situation? a [3,12,15,18,21] b [1,4,5,6,9] c [3,4,5,6,7] d [0,4,5,6,7] 2 Andrea is selling candles. She plans to sell the candles for $8 each and has enough supplies to make 76 candles. P(c) models the price of candles and t is the number of candles. Write an equation that represent how your cost will change depending on how many candles are sold. What is the domain? a Equation: P(c)=8c Range: 0 ≤ x ≤ 8 b Equation: P(c)=76c Domain: 0 ≤ x ≤ 608 c Equation: f(x)=10x Domain: [9,8,7,6,3] d Equation: P(c)=8c Domain: [0,1,2,3,4,5,6,7,8] 3 Aliee is a bean merchant, she sells any amount of beans from 10 kilograms to 500 kilograms. She charges $50 for 10 and $3,000 for 500 kilograms. P(b) models the price of b kilograms of beans in her shop. What's the domain? a 10 ≤ b ≤ 3000 b 50 ≤ b ≤ 3000 c 10 ≤ b ≤ 500 d 0 ≤ b ≤ 500 4 A pizza shop sells pizza for $7.5 and $1.25 per topping. The shop has a delivery policy that all orders must have a minimum of 2 toppings and maximum of 8 toppings for a delivery. P(t) is the total price of a pizza where t is the number of topping orders. What is the domain and range represent the function of the situation? a Domain: 1 ≤ t ≤ 10 Range: 10 ≤ p(t) ≤ 20 b Domain: [2, 3, 4, 5, 6, 7, 8] Range: [10, 11.25, 12.50, 13.75, 15, 16.25, 17.50} c Domain: [0,8] Range: [7.5,20] 5 Ravi has 300 candy bars in his store, and each cost $0.50. P(b) model the price p (measure in dollars) of purchase of b candy bars. Which type is right for the domain of the function? Integer or rational numbers. Find the domain. a Integer b rational numbers c Integer Domain: [0,300] d Integer Domain: [0,400] e Rational numbers Domain: [0,300] 6 Anna has 300 candy bars in his store, and each cost $0.50. P(b) model the price p (measure in dollars) of purchase of b candy bars. Find the range. a [0,300] b [0,150] c [0,0.5] 7 Lisa drived 20 mins from her company to the supermarket that are 4 km away. d(t) models Lisa remaining distance to drive (in km), t mins after she left her company. What is the domain and range? a Domain: “0, 22] Range: [0, 3] b Domain: [-1, 100] Range: [-2, -4] c Domain: (0, 21) Range: “0, 4” d Domain: [0, 20] Range: [0, 4] 8 Mario has and iTunes gift card worth $20.00. He uses the formula y=0.99x to determine y, the total cost for x number of songs. What is the domain for the situation? a All integers between 0 and 250 b All integers between 0 and 20 c All real numbers between 0 and 19.80 d All integers greater than 0 9 Kibin sells silk and each customer only can buy maximum 10 meters each. 1 meter of silk is $10. P(s) models the price of silk the customer buy, s is the silk length. What is the domain and range. a Domain: [0,10] Range: [0, 20] b Domain: [0,20] Range: [0, 10] c Domain: [0,2, 4, 5,10] Range: [0, 20, 50, 80, 100] d Domain: [0,10] Range: [0, 100] 10 Mia is rolling a pair of 6-sided dice. P(n) models the probability of the event that the sum of the dice is n. Is the domain integers or rational numbers and what is the domain? a integers; Domain: 2 ≤ n ≤ 3 b integers; Domain: 2 ≤ n ≤ 12 c rational numbers; Domain: 0 ≤ n ≤ 3 Feedback 1 try your best

1

The total cost that a farmer has to pay for space at a local farmer's market can be found using the function c(t) = 40t + 50, where t is the number of the tables that the farmer rents for the day, If a farmer rents at least 3 tables but not more than 7 tables. What is the domain of the function for this situation?

a

[3,12,15,18,21]

b

[1,4,5,6,9]

c

[3,4,5,6,7]

d

[0,4,5,6,7]

2

Andrea is selling candles. She plans to sell the candles for $8 each and has enough supplies to make 76 candles. P(c) models the price of candles and t is the number of candles. Write an equation that represent how your cost will change depending on how many candles are sold. What is the domain?

a

Equation: P(c)=8c Range: 0 ≤ x ≤ 8

b

Equation: P(c)=76c Domain: 0 ≤ x ≤ 608

c

Equation: f(x)=10x Domain: [9,8,7,6,3]

d

Equation: P(c)=8c Domain: [0,1,2,3,4,5,6,7,8]

3

Aliee is a bean merchant, she sells any amount of beans from 10 kilograms to 500 kilograms. She charges $50 for 10 and $3,000 for 500 kilograms. P(b) models the price of b kilograms of beans in her shop. What's the domain?

a

10 ≤ b ≤ 3000

b

50 ≤ b ≤ 3000

c

10 ≤ b ≤ 500

d

0 ≤ b ≤ 500

4

A pizza shop sells pizza for $7.5 and $1.25 per topping. The shop has a delivery policy that all orders must have a minimum of 2 toppings and maximum of 8 toppings for a delivery. P(t) is the total price of a pizza where t is the number of topping orders. What is the domain and range represent the function of the situation?

a

Domain: 1 ≤ t ≤ 10 Range: 10 ≤ p(t) ≤ 20

b

Domain: [2, 3, 4, 5, 6, 7, 8] Range: [10, 11.25, 12.50, 13.75, 15, 16.25, 17.50}

c

Domain: [0,8] Range: [7.5,20]

5

Ravi has 300 candy bars in his store, and each cost $0.50. P(b) model the price p (measure in dollars) of purchase of b candy bars. Which type is right for the domain of the function? Integer or rational numbers. Find the domain.

a

Integer

b

rational numbers

c

Integer Domain: [0,300]

d

Integer Domain: [0,400]

e

Rational numbers Domain: [0,300]

6

Anna has 300 candy bars in his store, and each cost $0.50. P(b) model the price p (measure in dollars) of purchase of b candy bars. Find the range.

a

[0,300]

b

[0,150]

c

[0,0.5]

7

Lisa drived 20 mins from her company to the supermarket that are 4 km away. d(t) models Lisa remaining distance to drive (in km), t mins after she left her company. What is the domain and range?

a

Domain: “0, 22] Range: [0, 3]

b

Domain: [-1, 100] Range: [-2, -4]

c

Domain: (0, 21) Range: “0, 4”

d

Domain: [0, 20] Range: [0, 4]

8

Mario has and iTunes gift card worth $20.00. He uses the formula y=0.99x to determine y, the total cost for x number of songs. What is the domain for the situation?

a

All integers between 0 and 250

b

All integers between 0 and 20

c

All real numbers between 0 and 19.80

d

All integers greater than 0

9

Kibin sells silk and each customer only can buy maximum 10 meters each. 1 meter of silk is $10. P(s) models the price of silk the customer buy, s is the silk length. What is the domain and range.

a

Domain: [0,10] Range: [0, 20]

b

Domain: [0,20] Range: [0, 10]

c

Domain: [0,2, 4, 5,10] Range: [0, 20, 50, 80, 100]

d

Domain: [0,10] Range: [0, 100]

10

Mia is rolling a pair of 6-sided dice. P(n) models the probability of the event that the sum of the dice is n. Is the domain integers or rational numbers and what is the domain?

a

integers; Domain: 2 ≤ n ≤ 3

b

integers; Domain: 2 ≤ n ≤ 12

c

rational numbers; Domain: 0 ≤ n ≤ 3

Feedback

1

try your best

Domain and range word problems

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Domain and range word problems

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Domain and range word problemsOnline version

by Tracy Phạm

Andrea is selling candles. She plans to sell the candles for $8 each and has enough supplies to make 76 candles. P(c) models the price of candles and t is the number of candles. Write an equation that represent how your cost will change depending on how many candles are sold. What is the domain?

Aliee is a bean merchant, she sells any amount of beans from 10 kilograms to 500 kilograms. She charges $50 for 10 and $3,000 for 500 kilograms. P(b) models the price of b kilograms of beans in her shop. What's the domain?

Ravi has 300 candy bars in his store, and each cost $0.50. P(b) model the price p (measure in dollars) of purchase of b candy bars. Which type is right for the domain of the function? Integer or rational numbers. Find the domain.

Anna has 300 candy bars in his store, and each cost $0.50. P(b) model the price p (measure in dollars) of purchase of b candy bars. Find the range.

Lisa drived 20 mins from her company to the supermarket that are 4 km away. d(t) models Lisa remaining distance to drive (in km), t mins after she left her company. What is the domain and range?

Mario has and iTunes gift card worth $20.00. He uses the formula y=0.99x to determine y, the total cost for x number of songs. What is the domain for the situation?

Kibin sells silk and each customer only can buy maximum 10 meters each. 1 meter of silk is $10. P(s) models the price of silk the customer buy, s is the silk length. What is the domain and range.

Mia is rolling a pair of 6-sided dice. P(n) models the probability of the event that the sum of the dice is n. Is the domain integers or rational numbers and what is the domain?

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