The number of teams who entered in a 3-on-3 charity basketball tournament can be modeled by function t, where x is the number of years since the tournament first started.

t(x)=4x+24

the entry fee paid by each team to enter the tournament can be modeled by function f, where x is the number of years since the tournament first started.

f(x)=5x+45

which function, r, best represents the total entry fees collected in the xth year since the tournament first started?

a. r(x)=20x^2+300x+1,080

b. r(x)=9x+69

c. r(x)=9x^2+29x+69

d. r(x)=20x^2+1,080

Option A:

Explanation:

The revenue, R(x) is the product of the number of teams who entered the tournament, T(x), times the entry fee paid by each team, F(x); then you can write:

Thus you must multiply the two functions (polynomials):

Use distributive property:

Simplify:

Add like terms:

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

replace   with   27   and simplify.

10 , 27 , 10 , 70 , 10 , 35 , 10 , 48

step-by-step explanation: