Charmaine is looking at the rental car prices for Get You There Rental Car Company. The cost is based on how many miles you plan to drive the rental car. Use the list of rental prices to answer the questions 1- 5.

Miles Cost
200 $80
600 $120
1000 $160
1400 $200
1800 $320

1) Describe the relationship between the cost of the rental car and the miles.

2) Write a linear equation to represent the relationship between the cost and the miles.

3) Estimate the cost of driving the rental car for 1200 miles.

4) Predict the cost of driving the rental car for 2400 miles.

5) With $500, what is the maximum number of miles that you can drive the rental car?

These questions seem so simple to me but I got them all wrong... Can someone please help me?

See previous post.

1) The relationship between the cost of the rental car and the miles is that as the number of miles increases, the cost of the rental car also increases.

2) To write a linear equation to represent the relationship between the cost and the miles, we can find the slope and the y-intercept. The slope can be calculated using the formula:

Slope = (change in cost) / (change in miles)

Taking any two points from the list, we can choose (200, $80) and (1000, $160):

Slope = (160 - 80) / (1000 - 200)
= 80 / 800
= 1/10

Now, we can find the y-intercept using the formula:

y-intercept = y - (slope * x)

Using the point (200, $80):

y-intercept = 80 - (1/10 * 200)
= 80 - 20
= 60

Therefore, the linear equation representing the relationship between the cost and the miles is:

Cost = (1/10) * miles + 60

3) To estimate the cost of driving the rental car for 1200 miles, we can substitute the value of miles into the linear equation:

Cost = (1/10) * 1200 + 60
Cost = 120 + 60
Cost = $180

4) To predict the cost of driving the rental car for 2400 miles, we can again substitute the value of miles into the linear equation:

Cost = (1/10) * 2400 + 60
Cost = 240 + 60
Cost = $300

5) With $500, we need to solve the linear equation to find the maximum number of miles we can drive the rental car:

500 = (1/10) * miles + 60
(1/10) * miles = 500 - 60
(1/10) * miles = 440
miles = 440 * 10
miles = 4400

Therefore, with $500, the maximum number of miles that can be driven in the rental car is 4400 miles.

Of course, I can help you with these questions. Let's break down each question and explain how to find the answers:

1) To describe the relationship between the cost of the rental car and the miles, we can observe that as the number of miles increases, the cost of the rental car also increases. It appears that the relationship is proportional.

2) To write a linear equation to represent the relationship between the cost and the miles, we need to find the slope (rate of change) and the y-intercept.

From the given data, we can see that the cost increases by $40 for every 400 miles. This means the slope is 40/400 = 0.1.

We can choose any data point from the table, such as (200, $80), to find the y-intercept. Using the slope-intercept form (y = mx + b) of a linear equation, we can plug in the values:

80 = 0.1(200) + b
80 = 20 + b
b = 80 - 20
b = 60

So, the linear equation representing the relationship between the cost (y) and the miles (x) is y = 0.1x + 60.

3) To estimate the cost of driving the rental car for 1200 miles, we can substitute 1200 for x in the linear equation:

y = 0.1x + 60
y = 0.1(1200) + 60
y = 120 + 60
y = 180

Therefore, the estimated cost of driving the rental car for 1200 miles is $180.

4) To predict the cost of driving the rental car for 2400 miles, we can again substitute 2400 for x in the linear equation:

y = 0.1x + 60
y = 0.1(2400) + 60
y = 240 + 60
y = 300

Hence, the predicted cost of driving the rental car for 2400 miles is $300.

5) To find the maximum number of miles that you can drive the rental car with $500, we can rearrange the linear equation and solve for x:

y = 0.1x + 60

Replace y with $500:

500 = 0.1x + 60
440 = 0.1x
x = 4400

So, you can drive the rental car for a maximum of 4400 miles with $500.

I hope this explanation helps you to understand and solve the questions correctly! Let me know if you have any further questions.