ryan has a points card for a movie theater.\n• he receives 85 rewards points just for signing up.\n• he…

ryan has a points card for a movie theater.\n• he receives 85 rewards points just for signing up.\n• he earns 7.5 points for each visit to the movie theater.\n• he needs 160 points for a free movie ticket.\nwrite and solve an equation which can be used to determine v, the number of visits ryan must make to earn a free movie ticket.\nanswer\nequation:\nanswer: v =

ryan has a points card for a movie theater.\n• he receives 85 rewards points just for signing up.\n• he earns 7.5 points for each visit to the movie theater.\n• he needs 160 points for a free movie ticket.\nwrite and solve an equation which can be used to determine v, the number of visits ryan must make to earn a free movie ticket.\nanswer\nequation:\nanswer: v =

Answer

Explanation:

Step1: Set up the equation

The initial points are (85), and he earns (7.5) points per visit (v). The total points needed is (160). So the equation is (85 + 7.5v=160).

Step2: Solve for (v)

Subtract (85) from both sides: (85 + 7.5v-85=160 - 85) (7.5v=75) Divide both sides by (7.5): (v=\frac{75}{7.5}) (v = 10)

Answer:

Equation: (85 + 7.5v=160) Answer: (v = 10)