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)

PART A:

y = mx + C

-----------------

When x=2, y=225.

When x=5, y=480.

-----------------

Therefore:

2m + C = 225

5m + C = 480

-------------------

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

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

-------------------

Therefore:

10m + 5C = 1125

10m + 2C = 960

--------------

Therefore:

10m = 1125 - 5C

10m = 960 - 2C

-------------

Therefore:

960 - 2C = 1125 - 5C

3C = 165

C = 55

---------------

y=mx + 55

--------------- 

2m + C = 225

Therefore:

2m + 55 = 225

2m = 225 - 55

2m = 170

m = 85

-----------------

PART B:

Which means that:

y=85x + 55

-------------------

PART C & D:

Graph the equation by striking a line through the points (2,225) and (5, 480), but remember that x cannot be equal to 0, so this line shouldn't go through the point (0,0) or points whereby x is less than the value 0.