Question

question ariana has a points card for a movie theater. - she receives 25 rewards points just for signing up. - she earns 8.5 points for each visit to the movie theater. - she needs 76 points for a free movie ticket. write and solve an equation which can be used to determine v, the number of visits ariana must make to earn a free movie ticket. answer attempt 1 out of 2 equation: answer: v = submit answer

Explanation:

Step1: Define variables and form equation

Let \( v \) be the number of visits. The initial points are 25, and she earns 8.5 points per visit. The total points needed for a free ticket is 76. So the equation is \( 25 + 8.5v = 76 \).

Step2: Solve for \( v \)

Subtract 25 from both sides: \( 8.5v = 76 - 25 \)
\( 8.5v = 51 \)
Divide both sides by 8.5: \( v=\frac{51}{8.5} \)
\( v = 6 \)

Equation: \( 25 + 8.5v = 76 \)

Answer:

\( v = 6 \)