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kramer
4 years ago
5

Kenny's charges $8 per hour to babysit he wants to figure out how much money do you earn in a week which variable is needed to c

alculate his total earnings for babysitting a.c=the number of children he babysits b. m=the amount of money she charges per hour c.h= the number of hours he worked d.d=the number of days per month he babysits​
Mathematics
1 answer:
Korolek [52]4 years ago
3 0

Answer:

H

Step-by-step explanation:

The amount of hours he has worked would be x 8$

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Answer:

a)  See attachment 1.

b)  t² and D

c)  See attachment 2.

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Step-by-step explanation:

<h3><u>Part (a)</u></h3>

See attachment 1.  The line of best fit is shown in red.

<h3><u>Part (b)</u></h3>

The quantities the student should graph in order to produce a <u>linear relationship</u> between the two quantities are t² and D.

<h3><u>Part (c)</u></h3>

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\begin{array}{|l|l|l|l|l|l|}\cline{1-6} \rm t^2& 0.0196& 0.1024& 0.2116 & 0.3481& 0.3969\\\cline{1-6} \rm D & 0.10 & 0.50& 1.00 & 1.70 & 2.00\\\cline{1-6}\end{array}

<u>Plot</u> a graph of D against t² and draw a line of best fit (see attachment 2).

<h3><u>Part (d)</u></h3>

From inspection of the graph, the line of best fit passes through the origin (0, 0) and (0.1024, 5.0).  Therefore, use these two points to find the slope of the line:

\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0.5-0}{0.1024-0}=4.8828125...\:\rm m/s^2

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\rm \implies \dfrac{1}{2}g=4.8828125...\:\rm m/s^2

\rm \implies g=2 \cdot 4.8828125...\:\rm m/s^2

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