Question

a ride costs $1.50 for the first 1/5 mile and $.25 for each additional 1/5 mile. demetri doesn’t want to spend more than $3.75 on a ride

Answer 1

Demitri can go on a maximum of 9 rides

Explanation:

1.50+.25x < 3.75

.25x < 2.25

x=9

Answer 2

2 miles

Explanation:

You want to know how far Demetri can ride for $3.75 if it costs $1.50 for the first 1/5 mile and $0.25 for each additional 1/5 mile.

Cost

The cost of a ride of x miles, where x > 1/5, will be ...

c = 1.50 + 0.25(x -1/5)/(1/5) = 1.25x + 1.25 = 1.25(x +1)

When the cost is $3.75, the number of miles will be x:

3.75 = 1.25(x +1)

3 = x +1 . . . . . . . . . divide by 1.25

x = 2 . . . . . . . . . . subtract 1

Demetri can ride for up to 2 miles without spending more than $3.75.

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