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Phantasy [73]
2 years ago
14

(BEGINNER LEVEL, Picture provided) Use the line of best fit to predict the total amount of money earned in tips after working 12

hours

Mathematics
2 answers:
Anni [7]2 years ago
6 0
It is 110

Slope of the line is 10x So you will earn 110$ in 12 hours.
lesya692 [45]2 years ago
4 0

Answer:

Option C is correct

$120

Step-by-step explanation:

The equation of best line is given by:

y=mx+b          ....[1]

where, y represents the total amount of money earned in tip after x hours,  m is the slope and b is the y-intercept.

As per the statement:

From the graph:

Two points are:

(2, 20) and (8, 80)

Formula for slope(m) is given by:

m = \frac{y_2-y_1}{x_2-x_1}

then;

m = \frac{80-20}{8-2}=\frac{60}{6}=10

⇒m = 10

Substitute in [1] we have;

y = 10x+b

Also , substitute the point (2, 20) to find b;

20= 10(2)+b

⇒20=20+b

Subtract 20 from both sides we have;

⇒0 = b

or

b = 0

Then, we get the equation:

y=10x

We have to find total amount of money earned in tips after working 12 hours.

⇒x = 12 hours

then;

y=10(12) =120

Therefore, the total amount of money earned in tips after working 12 hours is, $120

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salantis [7]

Answer:

  1. h ≥ 0
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Step-by-step explanation:

1. a. The domain of the function in the context of this problem is h ≥ 0. The maximum value of h will correspond to the time at which the concentration is considered to be negligible. If that time is when the concentration decays to 1% of its peak value, then perhaps the suitable domain is 0 ≤ h ≤ 180.

b. The equation of the vertical asymptote of this function is where the denominator of C(h) is zero, that is ...

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  h = -2 . . . . the equation of the vertical asymptote

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2. As h gets large the value of the function approaches 2/h, which is to say the horizontal asymptote is C = 0. It means the concentration of medication in the blood eventually decays to zero.

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3. C(0) = 0 is the only intercept in the domain of the function. (h, C(h)) = (0, 0)

In the context of this problem, it means the blood concentration of medication is zero at the time of the injection.

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4. About 1.95 hours after injection, a maximum concentration of the drug occur in the bloodstream. This value is easily found using a graphing calculator.

Taking the derivative of the function gives you ...

  C'(h) = -2(h^4 +5h^3 -16h -20)/(h^3 +8)^2

This has two real zeros and two complex zeros. The positive real zero is near h = 1.94527, about 1.95.

That is, the concentration in the bloodstream reaches a maximum about 1.95 hours after injection into the muscle.

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soldi70 [24.7K]

Answer:

Option D, 1

Step-by-step explanation:

<u>Step 1:  Determine what x1, x2, y1, y2 are</u>

Slope = \frac{y2 - y1}{x2-x1}

(x1, y1) is (2, 8)

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$300 invested at 12% compounded monthly after a period of 1.5 years
GalinKa [24]

Answer: $358.8 to the nearest tenth

Step-by-step explanation:

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