Domain and Range Word Problems
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•
Mathematics
•
7th - 9th Grade
•
Hard
Lesley Brantley
Used 2K+ times
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2 Slides • 9 Questions
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Domain and Range Word Problems
by Lesley Brantley
2
Domain and Range Word Problems
Domain: input values
Range: output values
1) identify the function rule (equation)
2) determine what the domain and range are in words
3) Can you have half or not?
3
Multiple Choice
A holiday church's meal costs $12.50 a person plus a delivery fee of $30. The equation is: f(x)=30+12.5x, where x is the number of hungry people. If there are 15 people in the church, what is the domain?
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
0, 42.50, 55, 67.50, 80, 92.50, 105, 117.50, ....
None of the above.
4
Multiple Choice
Leslie's car travels about 25 miles per gallon of gas. Her car needs 14 gallons of gas to be full. What is a reasonable domain?
x≥25
0≤y≤14
x≤14
0≤x≤14
5
Multiple Choice
A student is taking a test that has 10 questions on it. The student's score is a function of how many questions he misses: f(x)=100-10x, where x is the number of questions incorrect. What is the domain?
0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
0 < x < 10
x < 10
6
Multiple Choice
A student is taking a test that has 10 questions on it. The student's score is a function of how many questions he misses: f(x)=100-10x, where x is the number of questions incorrect. What is the range?
10, 20, 30, 40, 50, 60, 70, 80, 90, 100
0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
0 < y < 100
y < 100
7
Multiple Choice
8
Multiple Choice
9
Multiple Choice
A pizza shop sells pizza for $7.50 each plus $1.25 per topping. The total price of the pizzas can be determined by the function P(t) = 7.5 + 1.25t, where te is the number of toppings orders and P(t) is the total price of the pizza. The shop has a delivery policy that all orders must have a minimum of 2 toppings and maximum of 8 toppings for a delivery. Which inequality represents the range of the situation?
{10, 11.25, 12.50, 13.75, 15, 16.25, 17.50}
{2, 3, 4, 5, 6, 7, 8}
10 ≤ P(t) ≤ 17.50
0 ≤ P(t) ≤ 17.50
10
Multiple Choice
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. The equation: C=2h+15. If Frank has $33 to spend, what is the domain of the situation?
0 < x < 9
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
15, 17, 19, 21, 23, 25, 27, 29, 31, 33
0 < y < 33
11
Multiple Choice
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. The equation: C=2h+15. If Frank has $33 to spend, what is the range of the situation?
0 < y< 33
0<y<33
15, 17, 19, 21, 23, 25, 27, 29, 31, 33
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Domain and Range Word Problems
by Lesley Brantley
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