Let's assume that the price of the color printer Sara chooses is represented by the variable p.
According to the problem, Sara is looking at printers that range in price from $170 to $300. To represent this range of prices, we can write the compound inequality:
$170 ≤ p ≤ $300
To find out how much Sara can plan to pay after the rebate, we need to subtract the $35 rebate from the price of the printer. This can be represented as:
p - $35
Now, let's solve for the range of prices Sara can plan to pay after the rebate.
For the minimum price ($170), we have:
p - $35 ≥ $170
Adding $35 to both sides of the inequality:
p ≥ $170 + $35
p ≥ $205
For the maximum price ($300), we have:
p - $35 ≤ $300
Adding $35 to both sides of the inequality:
p ≤ $300 + $35
p ≤ $335
So, after the rebate, Sara can plan to pay between $205 and $335 for the color printer.
Now, let's consider if she can stay within a budget of $125 for the printer.
If Sara's budget is $125, we need to determine if there is a value of p that satisfies the compound inequality:
$205 ≤ p ≤ $335
Let's try the lowest value in the range ($205):
$205 ≤ $125
This inequality is NOT true, meaning she cannot stay within her budget of $125.
Therefore, Sara cannot stay within a budget of $125 for the printer.
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