Question

You are buying 3 shirts and 2 pairs of pants. You spend $300. Let x represent the price of the shirt and y represent the price of the pants. Write an equation that can be used to find price of the shirts and pants.

A) Standard form:
B) Slope-Intercept Form:
C) If the shirts cost $20 each how much were each of the pants?
D) Using the standard form, identify the x-intercept of the graph and explain how the x-intercept relates to the price of the pants and shirts.
E) Using the standard form, identify the y-intercept of the graph and explain how the y-intercept relates to the prices of pants and shirts.

Answer 1

The answer to your question is below

Explanation:

Data

3 shirts and 2 pair of pants

cost = $300

x = shirt price

y = pants price

a) 3x + 2y = 300

b) 2y = - 3x + 300

y = -3/2 x + 300/2

y = -3/2 x + 150

c) y = -3/2 (20) + 150

y = -30 + 150

y = 120 each of the pants costs $120

d) 3x + 2y = 300

if y = 0

3x = 300

x = 300/3

x = 100 It could be the highest cost of a shirt

e) 3x + 2y = 300

if x = 0

3(0) + 2y = 300

2y = 300

y = 300/2

y = 150 it could be the highest cost of a pair of pants.