The base rate to rent a car is $75. then, the customer is charged $2.00 per mile for each mile driven over 200 miles. joel rented a car and drove 250 miles. if y = 2x + 75 models the function, which domain value gives joel's total rental cost?
a) x=50 b)x=100 c) x=200 d) x=250

Answer : The correct option is, (A) x = 50

Step-by-step explanation :

As we are given that the base rate to rent a car is $75 and the customer is charged $2.00 per mile for each mile driven over 200 miles. That means,

If Joel drove 'x' miles over the allowed 200 miles. So, the customer charge per mile will be, $(2x).

The given model function is:

As, the Joel drove 50 miles over the allowed 200 miles.

So, x = 50 is the domain value that will be multiplied by 2 in the equation of function.

Thus, the domain value gives Joel's total rental cost is, 50

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: