Question

The cost of a car rental is ​$ per day plus per mile. You are on a daily budget of ​$. 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. You can drive at most nothing miles per day.

Answer 1

To find the greatest distance you can drive each day while staying within your budget, set up the inequality c + mxd <= b, where c is the cost per day, m is the cost per mile, and b is your daily budget. Solve the inequality by subtracting c from both sides and dividing both sides by m.

Step-by-step explanation:

To find the greatest distance you can drive each day while staying within your budget, you need to set up an inequality. Let's say the cost per day is $c and the cost per mile is $m. Your daily budget is $b. The inequality can be written as:

c + m×d ≤ b

where d represents the number of miles driven per day.

To solve this inequality, subtract c from both sides:

m×d ≤ b - c

Then, divide both sides by m:

d ≤ (b - c)/m

So, the greatest distance you can drive each day while staying within your budget is (b - c)/m miles.

Two other two-step inequalities with the same solutions could be:

1. d + m > b - c

2. 2d + 2m ≤ 2(b - c)