Question

Becky is comparing UBER fares of two different drivers. Driver 1 charges a fixed charge of $6.50, plus $3.00 per mile traveled. Driver 2 charges $8 per mile. Write an inequality that could be used to find how many miles Becky must travel to make the total cost with Driver 1 less than the total cost with Driver 2.

A) 6.50 + 3x < 8x
B) 3x - 6.50 < 8x
C) 8x < 3x - 6.50
D) 8x - 3x < 6.50

Answer 1

To find how many miles Becky must travel to make the total cost with Driver 1 less than the total cost with Driver 2, the correct inequality is 6.50 + 3x < 8x.

Step-by-step explanation:

To find how many miles Becky must travel to make the total cost with Driver 1 less than the total cost with Driver 2, we need to set up an inequality.

Let x represent the number of miles traveled.

For Driver 1, the total cost is $6.50 + $3.00x.

For Driver 2, the total cost is $8x.

So the inequality is:

6.50 + 3x < 8x

Answer choice A) 6.50 + 3x < 8x is the correct inequality.