The total cost, C, to attend a swim meet for a swimmer competing in x events can be modeled using a linear function. Each swimmer will pay a $3.00 entry fee for each event and $8.00 for lunch. Each swimmer may sign up for a maximum of 5 events. What is the range of the function for this situation?

Step-by-step explanation:

let the total cost be c

let the number of events be x

the linear model is

c=3x+8

therefore for 1 event

c=3(1)+8

c=3+8

c=11

=$11

therefore for 5 events

c=3(5)+8

c=15+8

c=23

=$23

The range is between $11 to $23

the answer is ! ?

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.