Question

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Part 1
The cost of a car rental is ​30$ per day plus 19c per mile. You are on a daily budget of ​$87. 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.

Answer 1

To stay within a daily car rental budget of $87, the maximum distance you can drive is 300 miles. Two other similar inequalities that yield the same solution are 60 + 0.38m ≤ 174 and 15 + 0.095m ≤ 43.5.

Step-by-step explanation:

The cost of a car rental is $30 per day plus 19 cents per mile. To find the greatest distance you can drive each day while staying within a daily budget of $87, we can write the following inequality:

30 + 0.19m ≤ 87

Where:

m = number of miles driven

Subtract $30 from both sides of the inequality to isolate the variable on one side:

0.19m ≤ 57

Divide both sides by 0.19 to find the number of miles:

m ≤ 300

Hence, you can drive up to 300 miles per day to stay within the budget. Two other two-step inequalities with the same solutions could be:

1. 60 + 0.38m ≤ 174 (I doubled the cost and budget)
2. 15 + 0.095m ≤ 43.5 (I halved the cost and budget)