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Basile [38]
3 years ago
13

Michael's father is giving him an interest-free loan for a car. Michael plans to give his father a $5000 down payment and pay $5

00 per month. The total amount paid can be represented by the linear function T = 500x + 5000, where T is the total paid to his father and x is the number of months. What would change the slope of the linear function?
Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
6 0

Answer:

Change in x i.e. number of months would change the slope of the linear function.

Step-by-step explanation:

Given :

Michael plans to give his father a $5000 down payment and pay $500 per month.

The total amount paid can be represented by the linear function T = 500x + 5000, where T is the total paid to his father and x is the number of months.

To Find: What would change the slope of the linear function?

Solution:

We are given a linear function T = 500x + 5000

Where T is the total paid to his father and x is the number of months.

General form of linear function = y=mx+c

Where m is the slope of the function

x changes the slope of the function

So, comparing the given function with general form :

m = 500

So, change in x i.e. number of months would change the slope of the linear function.

antiseptic1488 [7]3 years ago
3 0
Change the amount paid per month
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Answer:

Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.

Step-by-step explanation:

Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.

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