Example 3
Write an equation given the slope and a point
A carnival charges $2.50 per ride after an entrance fee. You paid a total of $22.50 after 6 rides. Write an
equation that gives the total cost as a function of the number of rides.
Find the entrance fee.
Find the total cost for 15 rides.
Example 4
Write an equation given two points
A BMX race track charges a membership fee and an entry fee per race. One racer paid a total of $76 after 3
races. Another racer paid a total of $124 after 7 races.
a)
What is the entry fee per race?
b)
How much does the track membership cost?
c)
Write an equation that gives the total cost as a function of the number of races entered.
Check Point
2.
A gym charges $35 per month after an initial membership fee. A member has paid a total of $250 after
6 months. Write an equation that gives the total cost of a gym membership as a function of the length of
membership (in months). Find the membership fee. Find the total cost of membership after 12 months.