Your friend decided to join a bmx course so he can race with his friends. The courses charges $7 per race after the membership fee. Your friend has raced 28
times and paid a total of $210, including the membership fee. What is the
membership fee? How much would he pay if he races 39 times? *

He would pay $287 if he races 39 times

Thus, the membership fee is $14.

Step-by-step explanation:

Linear Modeling

The situation described in the problem can be modeled as the equation of a line which has the form:

Where y is the cost of the course, x is the number of races, a is the cost per race, and b is the membership fee.

We know the course charges $7 per race, so a=7. Since your friend has raced x=28 times and paid y=210, we can find the value of b:

Operating:

b=14

Thus, the membership fee is $14.

The linear model is now:

If he races x=39 times, your friend would pay:

y=287

He would pay $287 if he races 39 times

he has now walked a total of what?

if i know what this is maybe i can

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.