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Veseljchak [2.6K]
3 years ago
14

1. Judy took $42 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each ba

g of popcorn was $6. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.

(b) Explain your graph.

Mathematics
1 answer:
KatRina [158]3 years ago
5 0

Answer:

The graph in the attached figure

Step-by-step explanation:

Sketch the graph that represents the situation and label the intercepts

Let

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

y -----> the number of drinks.

we know that

The price for each bag of popcorn was $6

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

so

The price of each drink was (1/2)$6=$3

The total bags of popcorn multiplied by $6 plus the number of drinks multiplied by $3 must be equal $42

The equation that represent this situation is

6x+3y=42

using a graphing tool

see the attached figure

<em>Find the y-intercept</em>

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

For x=0

6(0)+3y=42

y=14

The y-intercept is the point (0,14)

That means -----> The number of drinks that Judy can buy when the number of bags of popcorn is equal to zero

<em>Find the x-intercept</em>

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

For y=0

6x+3(0)=42

x=7

The x-intercept is the point (7,0)

That means ----->The number of bags of popcorn that Judy can buy when the number of drinks is equal to zero

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The  first cube can land in any one of  6  ways.
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A trail mix is made by adding pecans that sell for 2.50 per pound to chocolate candies that sell for 1.00 per pound. How much of
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