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 the price of the shirts and pants.
Directions: Write the equation in both slope-intercept and standard form for each of the
scenarios below.
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.

Answer 1

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the price of the shirt

y ---> he price of the pants

we have that

The price of three shirts plus the price of two paints must be equal to $300

so

$3x+2y=300$

This is the equation of the line in standard form

Convert to slope intercept form

$y=mx+b$

Isolate the variable y

$3x+2y=300$

subtract 3x both sides

$3x+2y-3x=-3x+300$

$2y=-3x+300$

Divide by 2 both sides

$y=-1.5x+150$ ----> equation of the line in slope intercept form

Find out the x-intercept

Remember that the x-intercept is the value of x when the value of y is equal to zero

In this problem, the x-intercept is the price of the shirt when the price of the paints is equal to zero

Using the Standard Form, identify the x-intercept of the graph

The standard form is

$Ax+By=C$

The x-intercept is C/A

we have

$3x+2y=300$

so

$300/3=100$

The x-intercept is the point (100,0)

That means---> The price of the shirt is $100 when the price of the paints is equal to $0

Alternative method to find out the x-intercept (equation in slope intercept form)

$y=-1.5x+150$

For y=0

$0=-1.5x+150$

solve for x

$1.5x=150$

$x=\ 100$

The x-intercept is the point (100,0)

Answer 2

Answer:

you should give the person who first answered this brainliest

Step-by-step explanation: