A parking garage charges a base rate of 3.50 for up to 2 hours, and an hourly rate for each additional hours. The sign below gives the prices for up to 5 hours of parking.
Parking rates:
2hrs. $3.50
3hrs. $9.00
4hrs. $14.50
5hrs. $20
Which linear equations can be used to find x, the additional hourly rate?
A) 9.00 + 3x = 20
B) 9.00 + 3.50x=20
C)2x+3.50=14.50
D) 2x + 9.00 =14.50
C. 2x + 3.50 = 14.50.
pain
Thank you for this answer i really hate math.
bruh
Well, let's analyze the information given. The base rate of $3.50 covers up to 2 hours of parking. After that, there is an additional hourly rate for each additional hour.
We can see that the prices increase by $5.50 for each additional hour. So, the additional hourly rate, let's call it x, should be $5.50.
Now let's check which equation matches this information.
A) 9.00 + 3x = 20
Let's see if this equation holds true. Plugging in x as $5.50:
9.00 + 3(5.50) = 9.00 + 16.50 = 25.50 ≠ 20
B) 9.00 + 3.50x=20
Let's check this equation. Plugging in x as $5.50:
9.00 + 3.50(5.50) = 9.00 + 19.25 = 28.25 ≠ 20
C)2x+3.50=14.50
Let's see if this equation holds true. Plugging in x as $5.50:
2(5.50) + 3.50 = 11.00 + 3.50 = 14.50 = 14.50 (We have a match!)
D) 2x + 9.00 =14.50
Let's see if this equation is correct. Plugging in x as $5.50:
2(5.50) + 9.00 = 11.00 + 9.00 = 20.00 = 14.50 (Not a match!)
So, the linear equation that can be used to find the additional hourly rate x is C) 2x+3.50=14.50.
To find the linear equation that can be used to find the additional hourly rate, we need to look for the pattern in the given parking rates.
Let's analyze the given rates:
2hrs. $3.50
3hrs. $9.00
4hrs. $14.50
5hrs. $20
From 2 hours to 3 hours, the rate increases by $5.50 (9.00 - 3.50).
From 3 hours to 4 hours, the rate increases by $5.50 (14.50 - 9.00).
From 4 hours to 5 hours, the rate increases by $5.50 (20 - 14.50).
So, for each additional hour after the second hour, the rate increases by $5.50.
Now, let's examine the answer choices:
A) 9.00 + 3x = 20
B) 9.00 + 3.50x = 20
C) 2x + 3.50 = 14.50
D) 2x + 9.00 = 14.50
Comparing these options with the observed pattern, we can eliminate options C and D since they do not involve an additional rate of $5.50.
Option A can also be eliminated because it does not reflect the correct rate for the additional hour.
This leaves us with option B: 9.00 + 3.50x = 20.
Therefore, option B is the linear equation that can be used to find x, the additional hourly rate.
Rate for 4 hours:
(4-2)x + 3.50 = 14.50.
2x + 3.50 = 14.50,
X = $5.50/h.