Problema Solution
Cody leases cars for $59 per month plus two cents per mile the car is driven up to 50 miles and eight cents per mile over 50 miles. Makayla wants a car but does not want to spend more than $66.23 per month. How many miles can she drive, if she leases a car from Cody?
Answer provided by our tutors
let 'x' be the number of miles Makayla makes per month
if x <= 50 she will spend 59 + 0.02*x
if x > 50 she will spend 59 + 0.02*x + (x - 50)0.08
Makayla wants a car but does not want to spend more than $66.23 per month
x <= 50
59 + 0.02*x <= 66.23
by solving we find
x <= 50
x <= 361.5
that is x<= 50
click here to see the step by step solution
x > 50
59 + 0.02*x + (x - 50)0.08 <= 66.23
by solving we find
x > 50
x <=112.3
that is 50< x <= 112.3
click here to see the step by step solution
from x<= 50 and 50< x <= 112.3 we find the solution 0<=x<= 112.3
Makayla can drive 112.3 miles the most.