Question

vanessa and tia each buy a printer. vanessa pays $90 for her printer, and each replacement ink cartridge costs $25. the equation $t = 80 + 20c$ can be used to find the total cost, $t$, tia pays for her printer plus $c$ number of ink cartridges.
part a
who buys the less expensive printer?
a. tia
b. vanessa

part b
if vanessa and tia buy their printers and 2 ink cartridges each, what is the difference in the amounts they pay? enter the answer in the box. $

Explanation:

Step1: Find Tia's printer cost

First, identify the cost of Tia's printer using her total cost formula. For 0 ink cartridges ($c=0$):
$t = 80 + 20(0) = 80$

Step2: Compare printer costs

Vanessa's printer costs $90, Tia's costs $80. $80 < 90$, so Tia's is cheaper.

Step3: Calculate total cost for each

Vanessa's total (printer + 2 cartridges): $90 + 2(25) = 90 + 50 = 140$
Tia's total (printer + 2 cartridges): $80 + 2(20) = 80 + 40 = 120$

Step4: Find cost difference

Subtract Tia's total from Vanessa's total:
$140 - 120 = 20$

Answer:

Part A:

A. Tia

Part B:

$\boldsymbol{20}$