Question

Coach keller is having the last names of his players printed on their shirts!?

Answer 1

Explanation:

We are given the table representing the cost for the number of letters to be printed on shirts.

As, we know that slope is given by
`m=(y_(2)-y_(1))/(x_(2)-x_(1))`.

So, taking any two points ( x,y ) from the table say ( 15,7 ) and ( 20,8.25 ), we find the slope.

i.e.
`m=(8.25-7)/(20-15)`

i.e.
`m=(1.25)/(5)`

i.e.
`m=(1)/(4)`

i.e.
`m=0.25`

So, the slope is 0.25.

Now, we substitute the value of the slope and the point ( 15,7 ) into the equation y = mx + b.

i.e. 7 = 0.25 × 15 + b

i.e. b = 7 - 0.25 × 15

i.e. b = 7 - 3.75

i.e. b = 3.25

So, the y-intercept is 3.25

Hence, the linear equation is given by y = 0.25x + 3.25.

We know that the company charges a flat fee and also charges amount per letter.

Since, y = 0.25x + 3.25 is the total cost charged for the letters.

This gives us that, the slope 0.25 represents the charge per letter and the y-intercept 3.25 represents the flat fee charged.