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.

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

This is the equation of the line in standard form

Convert to slope intercept form

Isolate the variable y

subtract 3x both sides

Divide by 2 both sides

----> 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

The x-intercept is C/A

we have

so

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)

For y=0

solve for x

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

step-by-step explanation:

1

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c