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You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95.

A. Write an equations that represents how much more you must spend to get free shipping.
B. Solve an inequality that represents how much more you must spend to get free shipping.
C. The cost of shipping your shoes is $7.79. Would you purchase another item in order to get free shipping? Explain.

User Lunochkin
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1 Answer

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A. Let x be the amount more you must spend to get free shipping. Then, the equation is:

$69.95 + x = $75

B. To solve the inequality that represents how much more you must spend to get free shipping, we can use:

$69.95 + x ≥ $75

Subtracting $69.95 from both sides, we get:

x ≥ $5.05

Therefore, you must spend at least $5.05 more to get free shipping.

C. It depends on whether the cost of the additional item plus the $69.95 exceeds $75. If the cost of the additional item is less than $5.05, then it may be worth purchasing in order to get free shipping. However, if the cost of the additional item plus the $69.95 is more than $75, then it may not be worth it as the shipping cost would still be less than the cost of the additional item.

User Mike Kibbel
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