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?

form a compound inequality to represent this problem and solve.

can she stay with in budget of $125 for the printer why or why not?

1 answer

To represent the problem, we can set up a compound inequality with the cost of the color printer after the rebate.

Let x be the cost of the color printer.
The rebate offered by Office Max is $35.
After the rebate, the cost of the printer will be x - $35.

The compound inequality can be written as:
$170 ≤ x ≤ $300 (range of prices for the color printers)

To find out how much Sara can plan to pay after the rebate, we subtract $35 from the range of prices:

$170 - $35 ≤ x - $35 ≤ $300 - $35
$135 ≤ x - $35 ≤ $265

Hence, after the rebate, Sara can plan to pay a price between $135 and $265 for the color printer.

To check if she can stay within a budget of $125, we compare the lowest price after the rebate ($135) to her budget:

$125 ≤ $135

Since $125 is less than $135, Sara can stay within her budget of $125 even after the rebate.