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)

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950