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.
Answer:
(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
<em>The greatest distance is 280 miles</em>
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)
