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Svetllana [295]

2 years ago

12

Two lawn mowing companies charge different rates depending on the number of acres the lawn covers. Answer the following question

s by selecting the appropriate company.
Company A: The total cost, y, of mowing a lawn
is $15 plus $5 for each acre, x, of its size.
Company B:
0 10
1 17
2 24
3 31

Which company charges less to mow a lawn that covers 6 acres? Company A
Company B
Which company's cost has the greater rate of change? Company A
Company B
Which company charges $80 for a lawn that is 10 acres? Company A
Company B
Which company has the lower y-intercept? Company A
Company B

1 answer:

natali 33 [55]2 years ago

5 0

Answer:

it is too hard bro

Step-by-step explanation:

sry I can't give

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Answer:

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Step-by-step explanation:

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Find the equation of the line with slope −5 and that contains the point (−9,−5). Write the equation in the form y=mx+b and ident

Elina [12.6K]

Answer & Step-by-step explanation:

Slope-intercept form:

$y=mx+b$

m is the slope and b is the y-intercept. Insert the given slope:

$y=-5x+b$

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$(-9_{x},-5_{y})\\\\-5=-5(-9)+b$

Solve for b:

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Subtract 45 from both sides:

$-50=b\\\\b=-50$

The y-intercept is -50. Insert:

$y=-5x-50$

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Use the slope formula for when you have two points:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}$

The slope is the change in the y-axis over the change in the x-axis, or rise over run. Insert the points:

$(2_{x1},4_{y1})\\(10_{x2},2_{y2})$

$\frac{2-4}{10-2}=\frac{-2}{8}=-\frac{2}{8}=-\frac{1}{4}$

The slope is $-\frac{1}{4}$ . Insert:

$y=-\frac{1}{4}x+b$

Now follow the steps from the last problem to find the y-intercept. Choose a point and insert into the equation:

$(2_{x},4_{y})\\\\4=-\frac{1}{4}(2)+b$

Solve for b:

Simplify multiplication:

$-\frac{1}{4}*\frac{2}{1}=-\frac{2}{4}=-\frac{1}{2}$

Re-insert:

$4=-\frac{1}{2} +b$

Subtract b from both sides:

$4-b=-\frac{1}{2} +b-b\\\\4-b=-\frac{1}{2}$

Subtract 4 from both sides:

$4-4-b=-\frac{1}{2}-4\\\\-b=-\frac{1}{2}-4$

Simplify subtraction:

$-\frac{1}{2}-4=-\frac{1}{2} -\frac{4}{1} =-\frac{1}{2} -\frac{8}{2} \\\\-\frac{1}{2} -\frac{8}{2}=-\frac{9}{2}$

Re-insert:

$-b=-\frac{9}{2}$

Divide both sides by -1 to make the variable positive (can be seen as -1b):

$b=\frac{9}{2}$

The y-intercept is $\frac{9}{2}$ .

Write the equation:

$y=-\frac{1}{4}x+\frac{9}{2}$

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