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.

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.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

it is x=-4

step-by-step explanation: