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?

\(\color{#0cbb34}{\text{Originally Posted by}}\) @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.

and you deleted ur response qcbot....

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

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

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!!

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 :)