help please

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 entire fee paid by each team to enter the tournament can be modelfied by function F, where x is the number of years since the tournament first started.
F(x)=5x+45
Which function,R, best represented the total entry fees collected in the sixth year since the tournament first started?

A. R(x)=9x^2+29x+69
B. R(x)=20x^2+1080
C. R(x)=20x^2+300x+1080
D. R(x)=9x+69

Respuesta :

Answer: THE ANSWER IS R(x)=9x+69

Step-by-step explanation:

Answer:

[tex]R(x)= 20x^2+300x+1080[/tex]

Step-by-step explanation:

The number of teams who entered in  basketball tournament

[tex]T(x)=4x+24[/tex]

The entire fee paid by each team to enter the tournament

[tex]F(x)=5x+45[/tex]

Total entry fees = Number of teams * fee paid by each term

[tex]R(x)= T(x) * F(x)[/tex]

[tex]R(x)= (4x+24) *(5x+45)[/tex]

USe FOIL method to multiply it

[tex]R(x)= 20x^2+180x+120x+1080[/tex]

combine like terms

[tex]R(x)= 20x^2+300x+1080[/tex]