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 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 prier? Why or why not?
Part A:
Let x be the price of the color printer.
Since Sara can choose from printers that range in price from $170 to $300, we have the compound inequality: 170 ≤ x ≤ 300.
After the rebate of $35, Sara can plan to spend 35 less than the price of the printer, so the compound inequality becomes: 170 - 35 ≤ x - 35 ≤ 300 - 35.
Simplifying the compound inequality, we get: 135 ≤ x - 35 ≤ 265.
Part B:
If Sara's budget is $125, then she needs to find a printer that costs less than or equal to $125.
To check if she can stay within her budget, we substitute x with 125 in the compound inequality: 135 ≤ 125 - 35 ≤ 265.
Simplifying, we get 135 ≤ 90 ≤ 265.
Since 90 is not in the range 135 ≤ x ≤ 265, Sara cannot stay within her budget of $125 for the printer.