Ruby has a points card for a movie theater. • - id12839405, ptrlvn01

Question

Mathematics: Ruby has a points card for a movie theater. • She receives 50 rewards points just for signing up. She earns 14.5 points for each visit to the movie theater. She needs 224 points for a free movie ticket. . How many visits must Ruby make to earn a free movie ticket?

ptrlvn01 · Accepted Answer

The crop yield increased by 9 pounds per acre from year 1 to year 10.

Step-by-step explanation:

To solve this we are using the average rate of change formula: $Av=\frac{f(x_2)-f(x_1)}{x_2-x_1}$ , where:

x_2 is the second point in the function

x_1 is the first point in the function

f(x_2) is the function evaluated at the second point

f(x_1) is the function evaluated at the first point

We know that the first point is 1 year and the second point is 10 years, so x_1=1 and x_2=10 . Replacing values:

$Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}$

$Av=\frac{-100+200+50-[-1+20+50]}{9}$

$Av=\frac{150-[69]}{9}$

$Av=\frac{150-69}{9}$

$Av=\frac{81}{9}$

Av=9

Since f(x) represents the number of pounds per acre and the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.

Ruby has a points card for a movie theater. • She receives 50 rewards points just for signing up.
She earns 14.5 points for each visit to the movie theater.
She needs 224 points for a free movie ticket.
.
How many visits must Ruby make to earn a free movie ticket?

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