Question

B. Tracie found a newspaper coupon for $30 off any dune buggy rental of

2 hours or more. Write and solve an inequality to find how long they can
rent the dune buggy and spend at most $150, using the coupon. Graph
the solution.

Answer 1

Answer: Let x be the number of hours the dune buggy is rented for. We know that the cost of the rental is $150 or less, and that the rental is for 2 or more hours.

We know that the cost of the rental is $30 less than the regular price, so we can set up the inequality as follows:

30 + 30x <= 150

Simplifying:

30x <= 120

x <= 120/30

x <= 4

So the solution to the inequality is x <= 4. This means that Tracie can rent the dune buggy for 4 hours or less and spend at most $150, using the coupon.

The graph of the solution will be a line with a slope of 0 and y-intercept at 4, and the solution set is x≤4.

Explanation: