Genesis has a points card for a movie theater. • She receives 70 rewards points just for signing up.
• She earns 12.5 points for each visit to the movie theater.
• She needs at least 155 points for a free movie ticket.
Write and solve an inequality which can be used to determine v, the number of visits
Genesis can make to earn her first free movie ticket.

'v' visits would get her 12.5v points

She needs at least 155 points... Meaning the least she needs is 155. Also meaning she needs 155 or More...

We would represent that with a "Greater than or Equal to Sign ≥"

12.5v + 70 ≥ 155

12.5v≥155-70

v= 85/12.5

v=6.8.

Our answer can't be in decimal. She can't make 6.8 visits... Rather

The answer would be 7 Visits.

She needs a Minimum of 7visits.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,