Mr. Spencer wants to rent a car. He has two deals: Deal A: rent Tesla with initial fee of$75 and
$25 fee each day
Deal B: rent Porsche with no initial fee and $50 each day
Help Mr. Spencer to select a better deal.

The answer is depending on how long he us going to rent the car. If Spencer wants to rent the car for less than 150 days, the Porsche is cheaper for that. However, if Spencer wants to rent a car for more than 150 days, the Tesla is the cheaper option.

Step-by-step explanation:

You can write both Deals in slope inter form.

Tesla: y = 25x+75

Porsche: y=50x

Remember: slope inter form is y = mb + b

"mx" being the change in y over the change in 1 or (y1-y2/x1-x2)

"b" in the formula represents the y-axis

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x