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3 years ago

The slope was found using the points (6.4, 117) and (6.6, 120). What is the value of b in the equation of the trend line?

Mathematics

1 answer:

Lyrx [107]3 years ago

6 0

Answer:

Step-by-step explanation:

Equation of the given line y = 15x + b.

Points passing through the above line (6.4, 117) and (6.6, 120)

If these point pass through the given line.

These point should satisfy the equation.

plugging in value of one of the point (6.4, 117) in the line y = 15x + b

we have

117 = 15*6.4 + b

=> 117 = 96 + b

=> 117 - 96 = b

=> b = 21

Thus, value of b in the given equation is 21.

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Option 4 is correct. The length of PR is 6.4 units.

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From the given figure it is noticed that the triangle PQR and triangle MQR.

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$hypotenuse^2=base^2+perpendicular^2$

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Use pythagoras formula for triangle MQR.

$MQ^2=QR^2+MR^2$

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From equation (1) and (2) we get

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Ray Of Light [21]

Step-by-step explanation:

the total cost is, of course, first the cost to buy the copier, and then the running costs per copy made.

it is really that easy.

the equations just put this into mathematical form :

y = 0.02×x + 800

y = 0.06×x + 600

please notice, we put $600 or $800 in as constant term, because these costs are the starting costs that we have, even if we never make a single copy (x = 0).

and then the total cost goes up with every copy we make.

I cannot draw here.

so, to find the number of copies where both copier systems would cost the same, means we have to say both equating deliver the same result :

0.02×x + 800 = 0.06×x + 600

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x = 200 / 0.04 = 5000

when making 5000 copies both costs are the same.

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