Question

1) An online store has the following advertisement on there homepage.

"FREE Standard Shipping when you spend $75 or more!"
You have already spent $24 shopping online for clothes.
a) Write and solve an inequality to represent the additional amount you must
spend to get free shipping.
b) You find a pair of shoes that cost $51. Will the clothes and the shoes be
enough to get free shipping? Explain.

Answer 1

Explanation:

Part a)

$24 + x ≤ $75 models this situation. We solve for x by subtracting $24 from both sides, which results in x ≤ $51. This $51 is the additional amount you must spend so as to get free shipping.

Part b) Will you get free shipping if you've already spent $24 on clothing and now spend $51 for this pair of shoes? Combine these purchases into one, which raises the bill to $51 + $24, or $75. Is

the above inequality true when the total cost of the purchases is $75?

$24 + x ≥ $75 is true when we let x = $75.

$24 + $75 ≥ $75.

Yes, these purchases qualify for free shipping.