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vovangra [49]
3 years ago
9

Logs are stacked 7 rows high. The top row has 15 logs, the second row has 18 logs, and the third row has 21 logs. This pattern c

ontinues similarly.
What is the total number of logs in the stack?
Mathematics
2 answers:
irinina [24]3 years ago
5 0

Answer:

168

Step-by-step explanation:

Just took the test

EastWind [94]3 years ago
4 0
The answer is 168 logs.

1st row:          15 logs
2nd row:        18 logs
3rd row:         21 logs
(so, each row has 3 more logs)
4th row:         24 logs
5th row:         27 logs
6th row:         30 logs
7th row:         33 logs

The sum of logs from each row is: 15 + 18 + 21 + 24 + 27 + 30 + 33 = 168 logs
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The x-intercept of -2 gives us an idea that point (-2,0) if found along the line. The y-intercept of -1, tells us that point (0,-1), this also tells us that b = -1.

Now that we have two points, we can solve for slope m

\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Given two points} \\ (-2,0)\rightarrow(x_1,y_1) \\ (0,-1)\rightarrow(x_2,y_2) \\  \\ \text{Substitute} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-0}{0-(-2)} \\ m=-\frac{1}{2} \end{gathered}

Now that we have both m and b. Substitute these values to the slope intercept form

\begin{gathered} \text{Slope intercept form is} \\ y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \\  \\ \text{Substitute the values from before and we get} \\ y=-\frac{1}{2}x-1 \end{gathered}

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sineoko [7]

Answer:

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Step-by-step explanation:

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------------------------

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3 years ago
Read 2 more answers
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