Lesson 3.1 Homework MAKE UP
Name ______________________
1. The average temperature of the day, T , determines the number of daily visitors to the beach, V . Identify the
independent and dependent variables of this function.
T is the independent and V is the Dependent
2. When Lindsey began preparing to bake a casserole her oven was at a room temperature of 75° . The graph
a. How long does it take the oven to preheat?
15 minutes
450
400
350
b. How long and at what temperature does the casserole bake?
450 F and for 45 minutes
300
Temperature (˚F)
shows the temperature of Lindsey’s oven, in ˚Fahrenheit, starting from when she first preheats the oven.
Time is measured in minutes.
250
200
c. Does the oven heat up at a faster rate or cool down at a faster rate?
How do you know?
it heats up at a faster rate. It
150
100
50
Time (minutes)
0
15
30
45
60
75
90
105 120 135
135150
150
took 15 minutes for it to reach
450 F while from 450 F to 100 F
it took 75 minutes.
3. The amount of snow on the ground over a 6 -hour period on a particular day can be modeled by a function
a. At what time are there 16 inches of snow on the ground?
2.5 hours
b. How fast is the snow falling?
Inches of snow
f , where f (t) is the number of inches of snow, t hours after 8 AM. A graph of f is shown.
28
24
20
16
3 inches per hour
12
8
4
Time (hours)
0
2
4
6
24
x toppings based on the menu of his local pizza shop.
21
What is wrong with the graph?
18
Cost ($)
4. Brian made a graph to represent the cost of a pizza with
15
12
9
6
3
0
1
2
3
4
5
6
7
8
Number of toppings

5. Annual consumer spending on pizza delivery, in billions of US dollars, between the years of 2004 and 2022
can be modeled by the function shown, where the horizontal axis represents the number of years since 2004
a. Approximate the maximum amount of money spent on pizza delivery.
In what two-year period did this occur?
20
18
16
19 billion and from 1986-1987
14
12
b. Approximate the minimum annual amount of money spent on pizza
delivery. In what two-year period did this occur?
10
8
6
4
1990-1991 and 9 billion
2
c. In approximately what year did annual spending on pizza delivery first
exceed 13 billion dollars?
0
Spending on pizza delivery (in billions of $)
.
2
4
6
6
7
8
9 10
Years since 2004
8
1989
snowstorm begins.
y 9
8
7
Inches of snow
6. During a snowstorm, a meteorologist tracks the
accumulation of snow. When the snowstorm starts there
is already 1 inch of snow on the ground. For the first
three hours of the storm, the snow fell at a constant rate
of 2 inches per hour. The storm then stopped for two
hours and then started again at a constant rate of onehalf inch per hour for the next four hours. Sketch a
graph of a function that could represent the number of
inches of snow on the ground x hours after the
6
5
4
3
2
1
-1 0
-1

1
2
3
4
5
Time (hours)
x
10
12
14
16
18 20
graph. Describe a pricing structure that might produce a
graph like this.
Cost ($)
7. The cost of ordering x t-shirts is shown in the given
150
100
After buying 10 shirts you receive a discount
50
Number of t-shirts purchased
0
5
10
15

8. 
a. Describe a scenario where it would make sense for the graph to be a set of points rather than a smooth curve.
Clearly define the independent and dependent variable.
b. Describe a scenario where it would make sense for the graph to have a sudden jump in outputs from one input
to the next.
9. Deer enter a zoned area at a rate modeled by the function D , where D(t) is measured in deer per hour and
t is measured in hours since midnight. Assume that no deer leave the zoned area during this time period.
The graph of D is shown.
a. Label both axes. Be sure to indicate units.
b. What is the maximum rate at which deer enter the zoned area? At
what time does this occur?
40
35
30
25
20
c. When is the number of deer in the zoned area decreasing? Explain.
15
10
5
d. At what time (approximately) is the number of deer in the zoned area
increasing at the slowest rate? How do you know?
0
3
6
9
12