Name:___________________________________________________Date:_______________________Per:_____
3.14 Constructing Functions HW: Find and interpret the initial value and rate of change in a complete sentence.
Then write an equation for the situation presented.
1) FPT rented a shaved ice machine to sell shaved
ice as a fundraiser. They paid an initial fee and then
an hourly charge. The table shows the cost per hour.
Assume the relationship between the two quantities
is linear.
Number of
Hours, x
Cost ($), y
2
3
4
5
30
35
40
45
2) Marcus is a member of the Regal Cinema movie
club. He pays a monthly fee and his movie tickets
are then $5 for an unlimited number of movies that
month. The graph shows the cost for each month.
Name:___________________________________________________Date:_______________________Per:_____
3.14 Constructing Functions HW: Find and interpret the initial value and rate of change in a complete sentence.
Then write an equation for the situation presented.
1) FPT rented a shaved ice machine to sell shaved
ice as a fundraiser. They paid an initial fee and then
an hourly charge. The table shows the cost per hour.
Assume the relationship between the two quantities
is linear.
Number of
Hours, x
Cost ($), y
2
3
4
5
30
35
40
45
2) Marcus is a member of the Regal Cinema movie
club. He pays a monthly fee and his movie tickets
are then $5 for an unlimited number of movies that
month. The graph shows the cost for each month.
Find and interpret the initial value and rate of change in a complete sentence. Then write an equation for the
situation presented.
3) Simone planted a tomato plant
and measured its height weekly. The
total height at 2, 3, 4, and 5 weeks
respectively were 13, 16, 19, and 22
inches tall. Assume the relationship
is linear.
4) I am having the exterior of my
house painted. The painters charge
$35 per hour plus the cost of
materials. After 20 hours of work, I
owe the painters $840. Assume the
relationship is linear.
5) The cost for DHS seniors to have
photos taken includes a sitting fee and
$12 for each portrait. The cost of 3, 6,
and 9 photos respectively is $51, $87,
and $123. What is the sitting fee?
Find and interpret the initial value and rate of change in a complete sentence. Then write an equation for the
situation presented.
3) Simone planted a tomato plant
and measured its height weekly. The
total height at 2, 3, 4, and 5 weeks
respectively were 13, 16, 19, and 22
inches tall. Assume the relationship
is linear.
4) I am having the exterior of my
house painted. The painters charge
$35 per hour plus the cost of
materials. After 20 hours of work, I
owe the painters $840. Assume the
relationship is linear.
5) The cost for DHS seniors to have
photos taken includes a sitting fee and
$12 for each portrait. The cost of 3, 6,
and 9 photos respectively is $51, $87,
and $123. What is the sitting fee?