Help please! y=mx+b

Question

Miguel rented a truck for one day. There was a base fee of $14.99

, and there was an additional charge of 79

 cents for each mile driven. Miguel had to pay $127.96

 when he returned the truck. For how many miles did he drive the truck?

Answer 1

Miguel had to pay $127.96 when he returned the truck.

This total fee includes the base fee of $14.99 + total number of miles*per mile fee.

Per mile fee is given to be 79 cent.

**Make sure you convert the cent to dollar because total amount and base fee are given in terms of dollars.

79 cent= $.79

127.96 = 14.99 + .79xnumber of miles

n= number of miles

We are pulling out the unknown n:

First subtract 14.99 from both sides:

127.96 - 14.99 = 14.99 + 0.79xn - 14.99

112.97 = 0.79xn

Divide both sides with 0.79 to leave n alone:

112.97/0.79 =n

n= 143 miles

Answer 2

Y = mx + b

y is what you end up with m is your change that takes place, x is how many times the change takes place and b is your starting point

127.96 = .79x + 14.99 now solve

subtract 14.99 then divide by .79 to find the number of miles.

Answer 3

This is a pretty simple set up using the equation. The fixed fee becomes the y intercept and the mile-rate becomes the slope. Then, they give us half of the point we need to solve for by giving us the total charge. We have that:

127.96 = (0.79)x+14.99

(Simplify)

112.97 = 0.79x

(Solve for x)

x=143 miles.

Note, the key to solving problems like this in the future are to figure out what the fixed rate and variable rate are. The variable will translate to slope and the fixed will translate to the y-intercept.