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3 years ago

Another annoying question. Please help me.

Mathematics

1 answer:

Volgvan3 years ago

8 0

Answer:

1.15b

b + 0.15b

b + (15/100)b

Step-by-step explanation:

Since the question asks for the equation that represents the pay plus the tip, which is 15% of the bill, your only answer choices are:

1.15b

b + 0.15b

b + (15/100)b

Why?

Ok, b is the bill in dollars. If I have to pay 15 dollars and I tip 15% of that, then I should be paying more than 15 dollars. In this example I gave, b is 15 dollars.

15% of b can be expressed in two ways (there's more but for now) : 0.15b or (15/100)b

15/100 is a fraction, which in decimal form is 0.15, so they are both exactly the same.

So, paying 15 dollars + 15% of the 15 will be 17.25.

Now, let's plug 15 dollars from our example in the answer choices to verify they are correct

b = 15

1.15b == 17.25

1.15(15) == 17.25

17.25 == 17.25 Correct

b + 0.15b == 17.25

15 + 0.15(15) == 17.25

15 + 2.25 == 17.25

17.25 == 17.25

There is another way of doing the above.

b + 0.15b == 17.25 # Combine like terms.

1.15b == 17.25

And then, b + (15/100)b is the same as b + 0.15b which is the same as 1.15b

Now, let's see what happens if we did a wrong one.

b + 0.15 <-- This one we expect b which is 15 and adding .15 cents no matter the cost

15 + 0.15 == 17.25

15.15 ≠ 17.25

1.015b <-- 0.015 in percent form is 1.5% not 15%.

1.015(15) == 17.25

15.225 ≠ 17.25

15b <-- We are multiplying b by 15. You better know your math otherwise you might pay 15x what you were supposed to pay!

15(15) == 17.25

225 ≠ 17.25

If you want to test out your equations, replace the variable; whether it is x, y, z, a, b, c - they are placeholders. Replace the placeholder with real values or equations (you will experience later).

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Solution:

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