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statuscvo [17]
3 years ago
9

Jessica is selling books during the summer, can someone help out

Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0

Answer:

Option B is the answer - For each additional door she knocks on, her earnings increase by $7.

Step-by-step explanation:

The linear equation is given as :

E(x)=7x-25

Now we will check the equation by putting values of x in it.

Say if Jessica knocks 10 doors ,

E(10)=7(10)-25 = $45

If she knocks 11 doors ,

E(11)=7(11)-25 = $52

If she knocks 12 doors ,

E(12)=7(12)-25 = $ 59

Rate of change is 59-52=7

52-45=7

We can see that, there is a constant increase of $7 with each increased door she knocks.

Therefore, option B is the answer.

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The closest point is (3.5, 1.9) and the distance is 1.96 units

<h3>How to determine the point and the distance?</h3>

The coordinate is given as:

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The equation of the function is

y = √x

The distance between two points is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have the following points

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d = √(x - 4)^2 + (√x - 0)^2

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Next, we differentiate using a graphing calculator

d' = (2x - 7)/[2√(x^2 - 7x + 16)]

Set to 0

(2x - 7)/[2√(x^2 - 7x + 16)] = 0

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2x - 7 = 0

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2x = 7

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x = 3.5

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y = √3.5

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y = 1.9

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The distance is then calculated as:

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d = √(3.5 - 4)^2 + (1.9 - 0)^2

Evaluate

d = 1.96

Hence, the closest point is (3.5, 1.9) and the distance is 1.96 units

Read more about distance at:

brainly.com/question/23848540

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