Question

The cost of a car rental is ​$40 per day plus 18(cents) per mile. You are on a daily budget of ​$67. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other​ two-step inequalities with the same solutions.

PLEASE HELP (30 POINT REWARD) PLEASE.

Answer 1

The inequality that represents the greatest distance that can be driven while staying within the daily budget is:

0.18x + 40 ≤ 67

Solving for x, we get:

0.18x ≤ 27

x ≤ 150

Therefore, the greatest distance that can be driven in a day while staying within the daily budget is 150 miles.

Two other two-step inequalities with the same solutions are:

1. 0.18x ≤ 27.5 x ≤ 153.5
2. 0.18x + 39 ≤ 67

0.18x ≤ 28

x ≤ 155