Question

Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.

Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat for x days. (4 points)

Part B: Write the equation obtained in Part A using function notation.(2 points)

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)

Answer 1

y = mx + C

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When x=2, y=225.

When x=5, y=480.

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Therefore:

2m + C = 225

5m + C = 480

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5*(2m+C)=5*225

2*(5m+C)=2*480

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Therefore:

10m + 5C = 1125

10m + 2C = 960

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Therefore:

10m = 1125 - 5C

10m = 960 - 2C

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Therefore:

960 - 2C = 1125 - 5C

3C = 165

C = 55

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y=mx + 55

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2m + C = 225

Therefore:

2m + 55 = 225

2m = 225 - 55

2m = 170

m = 85

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PART B:

Which means that:

y=85x + 55

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PART C & D: