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Explanation:</h2><h2>
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The initial value of this function is the y-intercept. We know that the slope-intercept form of the equation of a line is given by:
Writing our equation in slope intercept form:
So the initial value is:
0.48 miles
Step-by-step explanation:
Step 1
It is given that the grade(slope) is 4%. This means that for every 100 miles traveled, the elevation changes by 4 miles.
Step 2
Hence for a distance of 12 miles , the elevation changes by 12*4/100 = 48/100 = 0.48 miles. [Using direct proportion]
Answer:
940
Step-by-step explanation:
The scatter plot below shows the sales (in multiples of $1000) for the company over time (in months).
Also the sales can be modeled by the help of a linear function as:
y = 0.94x + 12.5.
Now we know that the company's sales increase per month is the slope of the linear function by which this situation is modeled.
We know that for any linear function of the type:
y=mx+c
'm' represents the slope and 'c' represents the y-intercept of the line.
Hence, by looking at the equation we get:
m=0.94
but as the sales are multiplied by 1000.
Hence,
0.94×1000=$ 940.
Hence, the company's sales increase per month is:
$ 940
Answer:
729
Step-by-step explanation:
I have not done this in some time so the terms may be a bit unconventional, but they work. The key to this is multiplying by -3.
1*(-3) = -3
-3*(-3) = 9
And so on.
1, -3, 9, -27, 81, -243, 729
