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omeli [17]
3 years ago
12

2.

Mathematics
1 answer:
iren [92.7K]3 years ago
5 0

Answer:

  • Part A: The price of fuel A is decreasing by 12% per month.

  • Part B: Fuel A recorded a greater percentage change in price over the previous month.

Explanation:

<u>Part A:</u>

The function     f(x)=2.27(0.88)^x     calculates the price of fuel A each month by multiplying the price of the month before by 0.88.

Month       price, f(x)

1                 2.27 (0.88) = 1.9976 ≈ 2.00

2                2.27(0.88)² = 1.59808 ≈ 1.60

3                2.27(0.88)³ = 1.46063 ≈ 1.46

Then, the price of fuel A is decreasing.

The percentage per month is (1 - 0.88) × 100 = 12%, i.e. the price decreasing by 12% per month.

<u>Part B.</u>

<u>Table:</u>

m       price, g(m)

1          3.44

2         3.30

3          3.17

4         3.04

To find if the function decreases with a constant ration divide each pair con consecutive prices:

  • ratio = 3.30 / 3. 44 = 0.959 ≈ 0.96
  • ratio = 3.17 / 3.30 = 0.960 ≈ 0.96
  • ratio = 3.04 / 3.17 = 0.959 ≈ 0.96

Thus, the price of fuel B is decreasing by (1 - 0.96) × 100 =4%.

Hence, the fuel A recorded a greater percentage change in price over the previous month.

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Step-by-step explanation:

We need to find the value of the function at the indicated value.

f(x)= 6x^2+ 5x -12

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To find f(-7), put x = -7 in the given function

f(-7)= 6(-7)^2+ 5(-7) -12=247

To find f(0), put x = 0 in the given function

f(0)= 6(0)^2+ 5(0) -12=-12

To find f(6), put x = 6 in the given function

f(6)= 6(6)^2+ 5(6) -12=234

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8 0
3 years ago
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Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

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Any and all help would be appreciated!
SpyIntel [72]

The way we can find out the unit rate (also known as the <em><u>SLOPE</u></em>) is by using the table as coordinates!

The slope formula is \frac{y2 - y1}{x2 -x1}

With the table, the TIME column can be "x"

The DISTANCE column can be "y"

____________________________

As coordinates, it would look like...

(0,0)

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_____________________________

All we need to do now is use 2 of these coordinates and plug them into the slope formula in their correct places to find the unit rate!

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solve!

\frac{37.5 - 25}{30 - 20} = 12.5/10 ⇒ 1.25 ( or 5/4 in fraction form)

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Is how many sixth graders attend your school a statistical question?
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Yes, any question that involves numbers would be a statistical question. 
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Answer:

Step-by-step explanation:

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