Question

Select the situation modeled by the following inequality.

17+1.5x>40


A fruit bouquet artist charges $1.50 for each piece of fruit in a bouquet, x, plus an additional $17 for the basket and decorations. Customers receive free delivery when their order is over $40.
B.
A 17-foot tall red maple tree is growing at a rate of 18 inches per year beneath power lines that hang 40 feet off the ground. The power company will have to prune the tree within x years, before it reaches the power lines.
C.
A recreation center charges a monthly fee of $17 and an additional $1.50 per visit. To stay within her monthly budget, Anne can spend at most $40 on rec center fees after x visits.
D.
Mark is training for a marathon. He currently runs 17 miles a week and plans to increase this amount by 1.5 miles each of the next x weeks until he has an average weekly mileage of at least 40.

Answer 1

A fruit bouquet artist charges $1.50 for each piece of fruit in a bouquet, x, plus an additional $17 for the basket and decorations. Customers receive free delivery when their order is over $40.

Explanation:

$1.50 represents the cost of each piece of fruit, but we don't know how many fruits are included in the basket, so let x be the number of fruit. That total must be added to the cost of the basket.

If consumers receive free delivery for orders over $40, then 17+1.50x must be greater than $40.