Matthew and Jayden own competing taxicab companies. Both cab companies charge a one-time pickup fee for every ride, as well as a charge for each mile traveled. The equation y = 1.32 + 2 represents what Matthew's company charges. Jayden charges a $2.50 pickup fee and $2.40 per mile. Use the dropdown menu and answer-blank below to form a true statement. less Matthew's company charges $ per mile than Jayden's.

Mathew's company charges $0.4 less per mile than Jayden's

The equation that represents Mathew's charges is given as:

Jayden's pickup is given as $2.50, while the rate per mile is given as $2.40.

So, the equation that represents Jayden's charges is

So, the equations are:

--- Mathew

--- Jayden

A linear equation is represented as:

Where:

m represents the slope/rate.

Hence, Mathew's company charges $0.4 less per mile than Jayden's

Read more about linear equations at:

link

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

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