Question

Pleasee help(GIVING BRAINILEST) Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then explore the town. The movie will cost the family $36, and parking costs $4 per hour.
How long will the family be able to spend in Millersville if they want to spend less than $60 and they don’t have any other expenses?

Follow the steps to answer this question.

1. Write an inequality that shows that Tyra's family spends less than their limit. Explain how you wrote the inequality, and define any variables used. (2 pts)

Write your answer in the space below.










2. Solve your inequality. Show your work. What does your solution mean? (3 pts)

Write your answer in the space below.

Answer 1

Answer:

1. 60>4x+36

2.6>x

Step-by-step explanation:

60 is the total amount of money the family has to spend, they want to spend less than that so...

60 is greater than what they will spend (60>)

the (x) is the amount of hours the family will spend at the city. parking cost 4 so that means 4 dollars per hour.

the 36 is what they have to initially spend to watch the movie

if you subtract both sides of the (>) by 36 you get

24>4x

then you divide both sides by 4 to get the (x) by itself, which gets you

6>x

meaning that the amount of hours the family will spend at the city will have to be 5 hours

correct me if I'm wrong but i believe that this is the correct answer... i double checked

Answer 2

Answer:

1.) 4x + 36 < 60

2.) The family must spend less than 6 hours in Millersville watching the movie.

Step-by-step explanation:

1.) In order to write an inequality to represent the situation, we need to consider all variables. The main resultant / dependent variable is the money spent. The independent variable is the time.

Let x = time  and y = money spent.

y = mx + b

Since the entrance fee for the movie is $36, we know that the b = 36. Since the rate of change is $4, you know that m = 4. Lastly, since the maximum amount of money the family has is $60, y = 60.

60 = 4x + 36

Finally, since the money spent must always be LESS THAN 60, 4x + 36 < 60

2.) Soling the Inequality:

Firstly, isolate the 4x by subtracting 36 from both sides.

4x + 36 -36 < 60 - 36

4x < 24

Next, divide both side by 4 in order to isolate x. Since 4 is positive, DO NOT flip the less than

4x/4 < 24/4

x < 6

Since x represents the time, time < 6 hours, meaning that the family must spend less than 6 hours in Millersville watching the movie.