Question

Question 4) A parking garage charges a base rate of $3.50 for up to 2 hours, and an hourly rate for each additional hour. The sign below
gives the prices for up to 5 hours of parking.
Parking Rates
2 hours $3.50
3 hours $9.00
4 hours $14.50
5 hours $20.00
Which linear equation can be used to find x, the additional hourly parking rate?
obel
A
9.00 + 3x = 20.00
obel
B
9.00 +3.50x = 20.00
2x +3.50 = 14.50
ate
D
2x + 9.00 = 14.50

Answer 1

We can use C. 2x + 3.50 = 14.50 as the linear equation to determine x, the additional hourly parking.

What do we mean by Arithmetic Progression?

An Arithmetic Progression is a sequence/series where every number is the sum of its previous number and a constant common difference.

How do we solve the given question?

For the first two hours, we are charged $3.50.

For 3 hours, we are charged $9.00.

∴ For an additional hour, we are charged $9.00 - $3.50 = $5.50.

We can confirm this by further information provided to us.

For 4 hours, we are charged $14.50 which is $5.50 greater than what we were charged for 3 hours.

Similarly, for 5 hours, we are charged $20.00 which is $5.50 greater than what we were charged for 4 hours.

∴ We can conclude that the additional car parking rate is $5.50.

Now, we check the provided equations:

• A. 9.00 + 3x = 20.00, which on solving gives x = $3.67
• B. 9.00 + 3.50x = 20.00, which on solving gives x = $3.14

• C. 2x + 3.50 = 14.50, which on solving gives x = $5.50
• D. 2x + 9.00 = 14.50, which on solving gives x = $2.75

So, as we can see Option C. is matching our conclusion.

Learn more about Arithmetic Progression at

https://brainly.com/question/7882626

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