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zysi [14]
2 years ago
7

PLEASE HELP WITH PART B!! can you also explain y and x, I dont understand part B >

Mathematics
1 answer:
Doss [256]2 years ago
8 0

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

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