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Hoochie [10]
3 years ago
10

What is the equation of the following line? Be sure to scroll down first to see all answer options. (2,10) (0,0)

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
7 0
It should be y=5x because the y intercept is 0
tekilochka [14]3 years ago
5 0

Answer:

Equation of the line is y = 5x

Step-by-step explanation:

Given Points of the line are ( 2 , 10 ) and ( 0 , 0 )

We need to find the equation of the line.

Since we given with two point. We use Two-Point form of the line.

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

So, using this form we get

y-0=\frac{10-0}{2-0}(x-0)

y=\frac{10}{2}x

y=5x

OR

y-10=\frac{0-10}{0-2}(x-2)

y-10=\frac{-10}{-2}(x-2)

y-10=5(x-2)

y=5(x-2)+10

Therefore, Equation of the line is y = 5x

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Given:

The increase in pressure P is the linear function of the depth d.

P(d)=0.445d+14.7

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To find:

The initial value and rate of change and their interpretation.

Find the cost function C where n is the number of students.

Solution:

The slope intercept form of a linear function is

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P(d)=0.445d+14.7        ...(ii)

From (i) and (ii), we get

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The initial value is 14.7. It means, the pressure at sea level is 14.7 pounds psi.

Rate of change is 0.445. It means, the pressure is increasing by 0.445 pounds psi for every feet.

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Let C(n) be the total cost for dinner and n be the number of students.

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Additional cost for 1 student = $10

Additional cost for n student = $10n

Now,

Total cost = Fixed cost + Additional cost

C(n)=300+10n

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Step-by-step explanation:

Sam, Raj and Jade have 12 sweets each

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