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vladimir2022 [97]
3 years ago
6

(8.4C) Ken has a weekly goal for the number of

Mathematics
1 answer:
77julia77 [94]3 years ago
3 0

Answer:

the slope is -300

Step-by-step explanation:

y=mx+b

m is slope

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Read 2 more answers
PLEASE HELP WITH PART B!!<br><br> can you also explain y and x, I dont understand part B &gt;
Doss [256]

A. I would suggest including <em>all</em> units in your answer. Both answers are correct but the unit is also important.

average rate of change:

($750 - $350) / (2014 - 2010) = $400 / (4 years) = $100 per year

initial value:

$350

B. Take 2010 to be year 0. Then for year <em>x</em> = 0, the fee is <em>y</em> = $350.

If the fee increases at a rate of $100 per year, this means that when <em>x</em> = 1, <em>y</em> = $350 + $100 = $450. So the graph of the function that models the dog-walking fee is a line that passes through the points (0, 350) and (1, 450), adn the slope of this line is

(450 - 350) / (1 - 0) = 100/1 = 100

which is the same as the average rate of change.

Using the point-slope formula for a line, the equation you want is then

<em>y</em> - 350 = 100 (<em>x</em> - 0)

<em>y</em> - 350 = 100<em>x</em>

<em>y</em> = 100<em>x</em> + 350

8 0
2 years ago
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