s156086
contestada

Blake has a points card for a movie theater. He receives 35 rewards points just for signing up. He earns 11.5 points for each visit to the movie theater. He needs 196 points for a free movie ticket. How many visits must Blake make to earn a free movie ticket?

Respuesta :

Blake has visits must Blake make to earn a free movie ticket v ≥ 6

This means that Adrian needs to do at least 6 visits.

First, we know that he gets 20 points just for signing up, so he starts with 20 points.

Now, if he makes v visits, knowing that he gets 2.5 points per visit, he will have a total of

20 + 2.5*v points.

And he needs to get at least 35 points, then the total number of points must be such that

points ≥ 35

and we know that

points = 20 + 2.5*v

then we have the inequality.

What is inequality?

There are wide varieties of economic inequality, most notably income inequality measured using the distribution of income and wealth inequality measured using the distribution of wealth.

20 + 2.5*v  ≥ 35

Now we can solve this for v, so we need to isolate v on one side of the equation:

2.5*v ≥ 35 - 20 = 15

2.5*v ≥ 15

v ≥ 15/2.5 = 6

v ≥ 6

So he needs to make at least 6 visits.

To learn more about the inequality visit:

https://brainly.com/question/24372553

#SPJ1

Answer:

  14 visits

Step-by-step explanation:

The total number of points on Blake's card will be the sum of the initial number and the number earned for visits. The number earned for visits is the product of the number of visits and the the points earned per visit.

__

setup

The number of points on Blake's card will be ...

  p = 35 +11.5x . . . . . when Blake makes x visits to the theater

We want to find x when p=196, so we have ...

  196 = 35 +11.5x

solution

This 2-step equation is solved in the usual way.

  161 = 11.5x . . . . step 1, isolate the variable term by subtracting the constant

  14 = x . . . . . . . . step 2, divide by the variable coefficient

Blake must make 14 visits to earn a free movie ticket.