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jolli1 [7]
3 years ago
14

I are these orders pairs a function х,у 0,9 2,8. 4,7 6,6 8,5 10,4

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
4 0

9514 1404 393

Answer:

  yes

Step-by-step explanation:

No x-value is repeated, so these ordered pairs do represent a function.

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A devastating freeze in California's Central Valley in January 2007 wiped out approximately 75% of the state's citrus crop. It t
solniwko [45]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

  • <em>The linear equation of the function is: </em>g(P) = 22.9P+7<em>.</em>
  • <em>The inverse function is: </em>g^{-1}(c) = \frac{1}{22.9}(c - 7)<em> .</em>
  • <em>A practical domain is from 0% to 100%</em>
  • <em>A practical range is from 7 to 29.9 </em>

<u>A. Input quantity</u>

The input quantity is the percentage of frozen citrus crop

<u />

<u>B. Output quantity </u>

The output quantity is the cost of box of oranges

<u>C. The linear function</u>

We have:

(P_1,c_1) = (20\%,11.58)\\(P_2,c_2) = (80\%,25.32)

<em>Calculate the slope of the function</em>

m = \frac{c_2 - c_1}{P_2 - P_1}

m = \frac{25.32 - 11.58}{80\%-20\%}

m = \frac{13.74}{60\%}

m = 22.9

<em>The linear equation is calculated as follows:</em>

c -c_1 = m(P-P_1)

c -11.58= 22.9(P-20\%)

c-11.58 = 22.9P-4.58

<u>D. Rewrite as y = mx + b</u>

We have:

c-11.58 = 22.9P-4.58

Collect like terms

c = 22.9P - 4.58 + 11.58

c = 22.9P+7

<em>The function is:</em>

g(P) = 22.9P+7

<u>E. A practical domain</u>

The domain is the possible values of P.  Because P is a percentage, its possible values are 0% to 100%.

The domain of the function is: [0\%,100\%]

<u>F. A practical range</u>

When P = 0%

c = 22.9 \times 0\% + 7 = 7

When P = 100%

c = 22.9 \times 100\% + 7 = 29.9

Hence, the range of the function is: [7,29.9]

G. The meaning of g^{-1}(12)

The inverse function of g(P) is g^{-1}(P)

So:

g^{-1}(12) is the percentage of frozen citrus crop, when the cost is $12.

<u>H. The inverse formula</u>

We have:

c = 22.9P+7

Subtract 7 from both sides

c - 7 = 22.9P

Make P the subject

P = \frac{1}{22.9}(c - 7)

So, the inverse formula is:

g^{-1}(c) = \frac{1}{22.9}(c - 7)

Substitute 12 for c

g^{-1}(12) = \frac{1}{22.9}(12 - 7)

g^{-1}(12) = \frac{1}{22.9} \times 5

g^{-1}(12) = 22\%

Read more about linear equations at:

brainly.com/question/19770987

6 0
2 years ago
Five and twenty nine hundredths
maks197457 [2]
5.029 is five and twenty nine hundredths in decimal form.
7 0
3 years ago
80=23-3v plz need answer
e-lub [12.9K]
-19 is the answer                                                  ////////////////// sorry i needed more charecters to answer

5 0
3 years ago
Read 2 more answers
bill can paint a closet in 2 hours. bob can paint the same closet in 3 hours. how long will it take them to paint the closet tog
katen-ka-za [31]
Bill paints 1/2 per hour. Bob paints 1/3 per hour. 1/2x+1/3x=1
6 0
2 years ago
Help please asap . please explain your answer
vesna_86 [32]

Answer:

y = -6x + 2

Step-by-step explanation:

Slope intercept form: y = mx + b

m is the slope

b is the y-intercept

The line pictured goes down 6 for each 1 it moves to the right, slope is rise over run, in this case, -6/1 or just -6

The y-intercept is the point that the function crosses the y-axis, in this case 2

Plug those in to get:

y = -6x + 2

3 0
2 years ago
Read 2 more answers
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