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?

Question

photon336 · Answer

$$y = m(x)+b $$

you can find the rate of change or the slope, I.E. how much money is charged per hour. do you know how to do this?

anonymous · Answer

cost over time?

photon336 · Answer

yep, in other words we can just build a function and get the slope

photon336 · Answer

$$slope = \frac{ Change~~y }{ Change~~x }$$

$$m = \frac{ 7.75-5.50 }{ 7-4 } = \frac{ 2.25 }{ 3 } = 0.75x$$

photon336 · Answer

$$y = 0.75(x)$$

so now we have our function. 0.75 cents per hour so now you can easily find the cost for three hours by inserting x = 3 into the equation.

anonymous · Answer

thank you

photon336 · Answer

@rwally22 do you get what I did. does this make sense to you?

anonymous · Answer

yes, appreciate it