Question

Consider the linear function f(x) = 2x + 1. Describe two real-world situations that you can model using this function.

Answer 1

A babysitter charges $2 per hour and an extra $1 for working after 6 pm.

the total cost (c) of hiring the babysitter for x hours after 6 pm = (cost per hour × number of hours x) + extra cost for after 6 pm

c = 2x + 1

c = f(x) = 2x + 1

A garage charges $2 per minute for a car wash plus $1 for the supplies.

total cost of a car wash for x minutes = cost of car wash × number of minutes + cost of supplies

c = 2x + 1

c = f(x) = 2x + 1

Answer 2

A babysitter charges $2 per hour and an extra $1 for working after 6 pm.
the total cost (c) of hiring the babysitter for x hours after 6 pm = (cost per hour × number of hours x) + extra cost for after 6 pm
c = 2x + 1
c = f(x) = 2x + 1

A garage charges $2 per minute for a car wash plus $1 for the supplies.
total cost of a car wash for x minutes = cost of car wash × number of minutes + cost of supplies
c = 2x + 1
c = f(x) = 2x + 1

The cost of renting a bicycle is $2 per hour. The person renting the bicycle also needs to pay a service fee of $1.
the total cost (c) of renting the bicycle for x hours = rent per hour × x + service fee
c = 2x + 1
c = f(x) = 2x+ 1