Question

A parking garage charges $5.50 to park for 4 hours and $7.75 to park for 7 hours. If the cost is a linear function of the number of hours parked, what is the cost to park for 3 hours?

Answer 1

\(\color{#0cbb34}{\text{Originally Posted by}}\) @QuestionCoveBot
All you have to do is 7.75-5.50.
\(\color{#0cbb34}{\text{End of Quote}}\)
\(\color{#0cbb34}{\text{Originally Posted by}}\) @QuestionCoveBot
It's that easy.
\(\color{#0cbb34}{\text{End of Quote}}\)

Yeah, no it isn't mate.

Answer 2

and you deleted ur response qcbot....

Answer 3

We need to first make an equation to calculate the cost for parking for a certain number of hours.

This is because, there might be a base charge and then an hourly charge for every hour you park after that. That's why it's not as simple as just subtracting the two numbers

Answer 4

Let's say that y is the cost for parking, and that x is the number of hours parked

we want to make the equation in the form of y = mx + b
where m is the slope
and b is our y-intercept

We would have to first solve and get our m and our b, and then we can plug in x=3 to find the cost for parking for 3 hours

b, our y-intercept, would be that initial base charge
m, our slope, would be that additional constant charge that you get for every hour you park more

Answer 5

so for 7 hours, we are charged 7.75
for 4 hours, we are charged 5.50

if we want to write it as a point,
We said x was the number of hours parked
And y is the total cost for parking

Points are written as (x,y)

So we have two points
(4, 5.50)
(7, 7.75)

You have to first find the slope

\(\sf slope = \frac{y_2-y_1}{x_2-x_1}\)

Once you find the slope, just replace 'm' with that number in

y = mx + b

and then you can solve for b then
You can plug in either point
You can put x=4 and y=5.50 and then you can solve for b

Or you can even do
x=7 and y=7.75 and then solve for b

Once you get b, go back to your equation and replace 'b' with that number in

y = mx + b

And at this point you should have a number for both m and b

You then just plug in x = 3
Because we want to know the total cost (y) for when we're parked for 3 hours

So just solve for y, and that's your final answer!!

Answer 6

Let me know if you get stuck anywhere along the way or if you want me to check your answer. I'd be more than happy to assist you further :)