At zippy rent-a-car, you can rent a car for $25 per day, with a one-time fee of $100. at speedy rent-a-car you can rent a car for $30 per day with a one-time fee $30. write and solve a system of equations to find the number of days for which both car rental locations will cost the same

Required system of equations :

The number of days for which both car rental locations will cost the same = 14

Step-by-step explanation:

Let x be the number of days .

Formula used here :

Total cost = One -time fee+ ( cost of renting car per day ) x (No. of days)

Given : At zippy rent-a-car, you can rent a car for $25 per day,with a one-time fee of $100.

i.e. One -time fee= $100

Cost of renting car per day =$25

Then, the total cost at zippy :  (1)

At Speedy Rent-a-car you can rent a car for $30 per day with a one-time fee $30.

i.e. One -time fee= $30

Cost of renting car per day =$30

Then, the total cost at Speedy :  (2)

According to the question ,  it

Then,        (From (1) and (2))

   [Subtract 30 and 25 x form both sides]

    (Simplify)

 (Divide both sides by 5)

i.e. x= 14

Hence, the number of days for which both car rental locations will cost the same = 14

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!