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Ilya [14]
3 years ago
11

Yolanda created a scatter plot of the relationship between the number of times she visited different friends each month, y, and

the distance in miles of the friends from her home, x. She calculated the equation of the trend line to be y = −3.5x + 20. Use this information to predict the number of times in one month Yolanda would visit a friend who is 4 miles from her home.
Mathematics
1 answer:
kkurt [141]3 years ago
6 0

Answer:

6 times

Step-by-step explanation:

y = −3.5x + 20 ; x = 4

y = -3.5(4) + 20

y = -14 + 20

y = 6

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Step-by-step explanation:

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 MAXIMUM POINT WILL BE GIVEN!!! I NEED THIS RN!!!!!!!!!!!!!!!!!!!!!!!!!
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Answer:

Part a) The variables are

x (the number of packages of Twinkies that were sold)

y (the number o boxes of juice that were sold)

Part b) The system of equations is

x+y=79 and 1.65x+1.36y=118.17

Part c) x=37,y=42

Part d) The value of y represent the number of boxes of juice that were sold y=42\ boxes\ of\ juice

The value of x represent the number of packages of Twinkies that were sold x=37\ packages\ of\ Twinkies

Step-by-step explanation:

Part a) Define the variables in this situation

Let

x-----> the number of packages of Twinkies that were sold

y----> the number of boxes of juice that were sold

Part b) Write a system of equations that model the problem

we know that

x+y=79 ------> equation A  

1.65x+1.36y=118.17 ---> equation B

Part c) Use the linear combination method to find the solution to the system you wrote in part b

Multiply equation A by -1.65

-1.65(x+y)=-1.65*79  

-1.65x-1.65y=-130.35 ------> equation C

Adds equation C and equation B

-1.65x-1.65y=-130.35\\1.65x+1.36y=118.17\\---------\\-1.65y+1.36y=-130.35+118.17\\-0.29y=-12.18\\y=42

Find the value of x

x+y=79

x+42=79

x=79-42=37

Part d) Using a complete sentence, explain what the solution found in part c represents

The value of y represent the number of boxes of juice that were sold

so

y=42\ boxes\ of\ juice

The value of x represent the number of packages of Twinkies that were sold

so

x=37\ packages\ of\ Twinkies

7 0
3 years ago
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