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Office Max is offering a $35 rebate on all color printers. Sara is looking at a few different color printers that range in price from $170 to $300. How much can she plan to pay after the rebate?

Part A: Form a compound inequality to represent this problem and solve.

Part B: Can she stay with in her budget of $125 for the printer? Why or why not?

1 answer

Part A:

Let x be the price of the color printer.
According to the problem, Office Max is offering a $35 rebate on all color printers.
After the rebate, the price Sara will have to pay is x - $35.

Since Sara is looking at color printers that range in price from $170 to $300, we can form the compound inequality:

170 ≤ x ≤ 300

To find out how much she can plan to pay after the rebate, we substitute the upper and lower bounds of x in the expression x - $35:

For x = 170, Sara will have to pay 170 - $35 = $135 after the rebate.
For x = 300, Sara will have to pay 300 - $35 = $265 after the rebate.

So, Sara can plan to pay after the rebate an amount between $135 and $265.

Part B:

Sara's budget for the printer is $125.

Since the amount Sara can plan to pay after the rebate ranges from $135 to $265, which is above her budget of $125, she cannot stay within her budget for the printer.