Compare the profits of a company


Solve the below:

Q: Two companies start up at the same time. Company A claims their annual profits follow a linear model, P(x)=10x-7 where x is the number of units sold and x≥1 . Company B claims that their annual profits follow a radical model, P(x)=15 √ x - 1 +3, where x is the number of units sold and x≥1. It is your job to investigate the validity of each claim.

1. Choose five values for x to plug into the linear function, P(x)=10x-7 and create a table of values.

2. Use the same five x values to plug into the radical function, P(x)=15 √ x - 1 +3 and create a table of values.

3. Using the table of values from parts 1 and 2 graph both functions.

4. Using the graphs from part 3 compare the profits of each company and evaluate their claims. Which model seems more realistic, the linear or radical model, and why?

 

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Mathematics: Compare the profits of a company
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