NAME _____________________________________________ DATE ____________________________ PERIOD _____________
7th Grade PreAP- Lesson 4.6 Homework
Write Equations of Functions
1. The Pep Club 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. Determine and interpret the rate of change and
initial value. Assume the relationship between the two
quantities is linear.
2. Marcus is a member of a theater 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. Determine the monthly
fee.
3. Determine and interpret the rate of change and
initial value. Then write the equation in y=mx+b
form.
A water park charges a rental fee plus $1.50 per hour to
rent inflatable rafts. The total cost to rent a raft for 6
hours is $15. Assume the relationship is linear.
4. Determine and interpret the rate of change and
initial value. Then write the equation in y=mx+b
form.
5. Determine and interpret the rate of change and
initial value. Then write the equation in y=mx+b
form.
6. Determine and interpret the rate of change and
initial value. Then write the equation in y=mx+b
form.
Maiana frosted some cupcakes in the morning for a
party. The table shows the total number she frosted after
she starts up after lunch. Assume the relationship is
linear.
Cameron has a certain number of DVDs in his collection.
The table shows the number of DVDs in his collection
over several months. Assume the relationship is linear.
A teacher already had a certain number of canned goods
for the food drive. Each day, the class plans to bring
10 cans. There was a total of 205 cans on day 10.
Assume the relationship is linear.
Course 3 • Chapter 4 Functions
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
7. An education association wants to rent a cotton candy
machine for a carnival. There is a deposit to rent it plus
an additional $8 per hour. The total cost to rent the
machine for 5 hours is $115. Assume the relationship is
linear. Determine and interpret the rate of change and
the initial value.
8. Mr. Dodson is having the exterior of his house painted.
The painters charge $35 per hour plus the cost of
materials. After 20 hours of work, Mr. Dodson owes
the painters $840. Assume the relationship is linear.
Determine and interpret the rate of change and the
initial value.
9. Before a movie began, a theater had people waiting in
10. The Art Club collected $15 from each of its 17
the seats. During each of 4 movie trailers, 7 more
members for dues. It then had $300 in its account.
people came into the theater. When the movie started
Assume the relationship is linear. Determine and
82 people were in the theater. Assume the relationship
interpret the rate of change and the initial value.
is linear. Determine and interpret the rate of change and
the initial value.
11. A teacher read part of a book to a class. The graph
shows the number of pages read by the teacher over the
next several days. Determine and interpret the rate of
change and the initial value.
12. Ling starts out with a certain number of baseball cards
and plans to collect 8 each month. At the end of a year,
he has 109 baseball cards. Assume the relationship is
linear. Determine and interpret the rate of change and
the initial value.
Course 3 • Chapter 4 Functions