The linear function in slope-intercept form for the cost of a visit of x hours is given as follows:
C(x) = 9x + 31.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, the rate means that the slope is of m = 9. When x = 3, C(x) = 58, hence the y-intercept is found as follows:
C(x) = 9x + b
58 = 9(3) + b
b = 31.
Hence the equation is:
C(x) = 9x + 31.
More can be learned about linear functions at brainly.com/question/24808124
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It is the 1st equation at the top.
Reason: First check the equations to check that the initial amount is 497 kg. You can do this by setting x = 0 into all of the equations. The 3rd and 4th equations evaluate to 2 when x = 0 and so you can eliminate the bottom 2 equations immediately. Equation # 2 does not work since the half-life value of 1.040 kg is way to small (significantly smaller than half of 497 kg).
You can check that equation # 1 is the right one, by setting x = 0 and getting
y = 497*(1/2)^[(1/38) * 0] = 497
so the initial amount is 497
Also check that there is 1/2 the amount at time 38 (since the half-life is 38 days)
y = 497 * (1/2)^[(1/38) * 38] = 248.5
248.5 kg is half of 497 and so this checks out for equation # 1.
Since we know equation # 1 is good, now we evaluate at x = 4 to get
y = 497 * (1/2)^[(1/38) * 4] = 462.029
so our answer to the thousandth places is 462.029 kg.
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Answer:k = </span>

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Explanation:To get the value of k, we will need to isolate it on one side of the equation.
This can be done as follows:
d = a(2+kt)
<u><em>1- get rid of the brackets using distributive property:</em></u>
d = a(2+kt)
d = 2a + akt
<u><em>2- Subtract 2a from both sides of the equation:</em></u>
d - 2a = 2a + akt - 2a
d - 2a = akt
<u><em>3- Divide both sides of the equation by "at":</em></u>
</span>

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</span>

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<u><em>4- We can further simplify the answer as follows:</em></u>
</span>k =

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Hope this helps :)</span>
Answer:

<h2>33 is the right answer.</h2>
Well Carlos obviously isn't first, and the question states that Lisa is last.
And Paige is in front of Kate, so the line would go:
Paige
Kate
Carlos
Lise