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4 years ago

The equation of the line is y= 17.63x + 27.52 what is the best interpretation of the y intercept of the line

Mathematics

1 answer:

KATRIN_1 [288]4 years ago

4 0

Answer:

The value of y when x = 0

Step-by-step explanation:

y= 17.63x + 27.52

The best interpretation of the y-intercept is that it represents <em>the value of y when x = 0</em>.

Notice how, in the graph below, y = 27.52 when x = 0.

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Ksivusya [100]

Answer:

It will travel

$33 \frac{1}{4} \: miles$

in 45 minutes.

Step-by-step explanation:

We can solve using proportions.

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3 years ago

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3 years ago

Joe's annual income has been increasing each year by the same dollar amount. The first year his income was $17 comma 90017,900

Vedmedyk [2.9K]

Answer:

In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

Income in first year = $17,900

Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of line is

$y-17900=\frac{20300-17900}{4-1}(x-1)$

$y-17900=\frac{2400}{3}(x-1)$

$y-17900=800(x-1)$

$y-17900=800x-800$

Add 17900 on both sides.

$y=800x-800+17900$

$y=800x+17100$

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

$30700=800x+17100$

Subtract 17100 from both sides.

$30700-17100=800x$

$13600=800x$

Divide both sides by 800.

$\frac{13600}{800}=x$

$17=x$

Therefore, in 17th year his income was $30,700.

5 0

4 years ago

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OLEGan [10]

Answer:

a. $14.50

b. $43.5

Step-by-step explanation:

a. $7.00 + $7.50 = $14.50

b. y = 14.5x x=3

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3 years ago

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Ainat [17]

Answer:

Step-by-step explanation:

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3 years ago