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Artemon [7]
3 years ago
13

PLEASE HELP 100 POINTS! NEED HELP ASAP

Mathematics
2 answers:
jenyasd209 [6]3 years ago
7 0

Answer:

see the explanation

the graph in the attached figure

Step-by-step 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

alisha [4.7K]3 years ago
3 0

Answer: The answer is 30

Step-by-step explanation:

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