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viktelen [127]
3 years ago
7

How to compare rates and ratios

Mathematics
1 answer:
Leviafan [203]3 years ago
6 0
Ratios don't have to be "per" something, while rates are "per" something. 

Ratios compare 2 or more values, as well as rates. 
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A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it
umka21 [38]

Answer: y=-40x+300

Step-by-step explanation:

This car follows a line, hence its motion can be modeled by the Line equation.

In fact, we already have two points of the line, if we call x the time in hours and y the traveled distance in miles:

Point 1: (x_{1},y_{1})=(0,300)

Since we are told the car's initial position is 300 miles in the time 0 h

Point 2: (x_{2},y_{2})=(3,180)

Since we are told the car's final position is 180 miles after 3h

<u />

<u>Let's find the Slope m: </u>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=-40  This is the slope of the line

Now, the equation of the line is:

y=mx+b

We already know the slope, now we have to find the intersection point with the y-axis (b) with any of the given points. Let's choose Point 1: (x_{1},y_{1})=(0,300)

300=-40(0)+b

Isolating b:

b=-300

Then, the equation of the line is:

y=-40 x+300

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3 years ago
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Point c (2,2) is the center of the circle. what is the ratio of ac to the length of dc?
Nadya [2.5K]
They answer is 3::: (1:1)
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A man invests a certain amount of money at 2% interest and $800 more than that amount in another account at 4% interest. At the
Alex777 [14]
112 dallors interest beca0.02x + 0.04(800) = 112 0.02x + 0.04(x + 800) = 112 0.04x + 0.02(x + 800) = 112 use 
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Which of the following numbers represents 8/9 to the nearest percent?
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Which equation represents the line with a slope of 5/6 that passes through the point (-2, 1)?
andreyandreev [35.5K]

Answer:

Step-by-step explanation:

Slope m = 5/6

The points (-2,1)

So; y1 = 1 and x1 = -2

The equation is y - y1 = m(x - x1)

y - 1 = 5/6(x + 2)

Multiply each term by 6

6y - 6 = 5(x + 2)

6y - 6 = 5x + 10

6y = 5x + 10 + 6

6y = 5x + 16

- 5x + 6y = 16

Multiplying by minus

5x - 6y = -16

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