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.

Question:

The cost of a car rental is ​$42 per day plus 20 cents per mile. you are on a daily budget of ​$98. 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.

(a) The greatest distance is 280 miles

(b) and

Step-by-step explanation:

Given

---->daily rate

-- amount per mile

--- in dollars

Solving (a): Inequality for the scenario

Because you are on a budget, it means that the spending can not exceed $98 (i.e. less than or equal to $98).

So, the inequality is:

Represent days with d, miles with m and substitute 98 for Budget

Because it is daily, then d = 1

Collect like terms

The greatest distance is 280 miles

Solving (b): Two other inequalities with the same solution as:

To do this, all you need to do is to perform the same operation on both sides of the inequality.

Multiply both sides by 0.10

Add 30 to both sides

--- equation (1)

Another possible equation is as follows:

Multiply both sides by 5

Subtract 400 from both sides

--- equation (2)

correct answer is b. 27/8

step-by-step explanation: