Question

PLEASE HELP 100 POINTS! NEED HELP ASAP

Answer 1

Answer: The answer is 30

Explanation:

Answer 2

see the explanation

the graph in the attached figure

Explanation:

Let

x ----> the number of bags of popcorn

y ---> the number of drinks

we know that

The price of each bag of popcorn was $5

The price of each drink was half the price of a bag of popcorn

so

The price of each drink was $5/2=$2.5

Remember that

The number of bags of popcorn and drinks Judy bought, multiplied by their prices, should equal $30.

The linear equation that represent this situation is

`5x+2.5y=30`

To graph the linear equation , find the intercepts

Find the y-intercept

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

In the context of the situation, the y-intercept represent the number of drinks Judy can buy when the number of bags of popcorn equals zero

so

For x=0

`5(0)+2.5y=30`

`2.5y=30`

`y=12\ drinks`

The y-intercept is the point (0,12)

Find the x-intercept

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

In the context of the situation, the x-intercept represent the number of bag of popcorn Judy can buy when the number of drinks equals zero

so

For y=0

`5x+2.5(0)=30`

`5x=30`

`x=6\ bags\ of\ popcorn`

The x-intercept is the point (6,0)

To graph the line plot the intercepts and join the points

using a graphing tool

The graph in the attached figure