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Vlada [557]
3 years ago
13

Amie collects data on the fuel efficiency, in miles per gallon, and the mass, in kilograms, of

Mathematics
1 answer:
DENIUS [597]3 years ago
5 0

Answer:

For every 100-kilogram increase in mass, the fuel efficiency of car decreases by about 1.1 miles per gallon.

Step-by-step explanation:

Fuel efficiency after x kg in mass:

y = 43.28 -0.011x

Thus, the slope is of -0.011 per x kg.

Increase of 100:

When x = 100, as the slope is negative, the efficiency will decay by:

-0.011*100 = -1.1

Decay of 1.1 miles per gallon, so the answer is:

For every 100-kilogram increase in mass, the fuel efficiency of car decreases by about 1.1 miles per gallon.

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8 0
3 years ago
PLEASE HELP!
ki77a [65]

Answer: 450 kcal

Step-by-step explanation:

So you know the food is 360 kcal per 1 cup

by setting up a proportion, you can relate the number of kcal to cups.

\frac{360 kcal}{1 cup} = \frac{?kcal}{(3/4 +1/2)cup} \\\\

we can simplify the fraction to this:

\frac{360 kcal}{1 cup} = \frac{?kcal}{(5/4)cup} \\\\

by cross multiplying you can solve the proportion

(360) * (5/4) = (?) * (1)

simplifying gets this:

450 = ?

so he ate 450 kcal total

7 0
3 years ago
Can someone show me how to do this ?
Savatey [412]
The point slope formula is y - y1 = m(x - x1)

the value x1 is the x coordinate of a point
the value y1 is the y coordinate of a point
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therefore, x1 = -2 & y1 = 1

Then, all you do is plug in the points:

y - 1 = 3(x + 2)

NOTE:
It is 3(x + 2) instead of 3(x - 2) because the formula is (x - x1). If you plug x1 in, it is (x - (-2)). 2 negatives cancel out to be a positive, so it is (x + 2)

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