Question

Nayeli has a points card for a movie theater.

Answer 1

Answer: She would have to visit the movie theater 10 times.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

I am not sure what the actual question is.

the general function for the amount of gathered reward points p with v visits to the theater is

p(v) = 14.5×v + 40 (40 starting points, 14.5 points per visit)

to know how many visits are needed for a certain amount of points (185) we need to solve that equation for v :

185 = 14.5×v + 40

145 = 14.5×v

v = 145/14.5 = 10

so, she needs at least 10 visits to gather the desired 185 points for a free ticket.

but that applies only to the first free ticket.

after that the function behavior kind of changes, because we have no more starting points :

so to get 2×185 = 370 points for 2 free tickets she will need

370 = 14.5×v + 40

330 = 14.5×v

v = 330/14.5 = 22.75862069...

we need to round up to the next whole number (because there can be no "part-visits").

so, she will need 23 visits for 2 free tickets (that means 13 more visits for the second free ticket).