Word Problems:
5) Andy's Rental Car charges an initial fee of $20 plus an additional $30 per day to rent a car. Buddy's Rental
Car charges an initial fee of $36 plus an additional $28 per day. For what number of days is the total cost
charged by the companies the same?
Part A: Write an equation to model the problem.
Part B: Solve and answer the question

Andy's Rental Car: f(x)= 20 + (30x)

Buddy's Rental Car: f(x) 36 + (28x)

Step-by-step explanation:

First, identify what you know:

1) Andy's Rental Car charges an initial fee of $20 plus an additional $30 per day to rent a car.

2) Buddy's Rental Car charges an initial fee of $36 plus an additional $28 a day!

So, which rental car company has the better deal? Imagine you want to rent a car for ten days, which would you choose?

First, create an equation for each:

Andy's Rental Car: f(x)= 20 + (30x)

The x represents the number of days the car is rented. Multiple the days by the $30 day charge, and add it to the initial rental charge.

Buddy's Rental Car: f(x) 36 + (28x)

The x represents the number of days the car is rented. Multiple the days by the $28 day charge, and add it to the initial rental charge.

Now, input 10, for the number of days you want to rent the car for!

Andy's Rental Car: f(10)= 20 + (30 x 10)

20 + (300)

f(x) = $320

Buddy's Rental Car: f(10) = 36 + (28 x 10)

36 + (280)

f(x) = $316

So, it would be $4 cheaper to rent from Buddy's Rental Car company than Andy's Rental Car company!

Hope this helps! :)

333333333333333333333333333333

step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3