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TEA [102]
3 years ago
5

What is the Unit Rate for each cyclist?

Mathematics
1 answer:
allsm [11]3 years ago
6 0

Answer:

Cyclist A  12 mi/h

Cyclist B  5 mi/h

Cyclist C  9 mi/h

Cyclist D  10 mi/h

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the relation between the distance and the time represent a direct variation

Let

y -----> the distance in miles

x ----> the time in hours

The unit rate is the same that the slope or constant of proportionality of the linear equation

<em>Cyclist A</em>

we have

The cyclist can ride 24 miles in 2 hours

The unit rate is equal to divide the total distance by the total time

so

\frac{24}{2}=12\ \frac{mi}{h}

<em>Cyclist B</em>

Looking at the table

For x=1 h, y=5 mi

k=y/x

substitute

k=\frac{5}{1}=5\ \frac{mi}{h}

<em>Cyclist C</em>

we have

y=9x

Remember that the unit rate is equal to the slope

so

m=9\ \frac{mi}{h}

<em>Cyclist D</em>

Looking at the graph

For x=1 h, y=10 mi

k=y/x

substitute

k=\frac{10}{1}=10\ \frac{mi}{h}

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Find the average rate of change of the number of digital cameras sold from 2006 to 2015
asambeis [7]

Answer:

5900 units per year  

Step-by-step explanation:

The average rate of change  from (x₁, y₁) to (x₂, y₂) is the slope of the straight line joining the two points.

slope = (y₂ - y₁)/(x₂ - x₁)

From the graph, I estimate your points to be (2006, 35 000) and (2015, 88 000).  

slope = (88 000 - 35 000)/(2015 - 2006) = 53 000/9 ≈ 5900 units per year

The  average rate of change in the number of digital cameras sold between 2006 and 2015 was 5900 units per year.  

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4 years ago
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anzhelika [568]

Answer:

2. y, because ΔABC = ΔEDC

Step-by-step explanation:

  • Both sides, angles are similar.
  • B and D has an angle of 65 degree
  • E and A has angle of y

That's why B is best option.

8 0
3 years ago
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natulia [17]

Answer:

its C. 17/10

Bcs 3/2

=1.5

And on the figure shown 1.5 comes in c

<h2>Mark me BRAINLIEST </h2>
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Read 2 more answers
SOMEONE PLS HELP ME I WILL MAKE U BRAINLIST ! In a survey sample of 83 respondents, about 30.1 percent of the samplework less th
nignag [31]

Answer:

Answer = √(0.301 × 0.699 / 83) ≈ 0.050

A 68 percent confidence interval for the proportion of persons who work less than 40 hours per week is (0.251, 0.351), or equivalently (25.1%, 35.1%)

Step-by-step explanation:

√(0.301 × 0.699 / 83) ≈ 0.050

We have a large sample size of n = 83 respondents. Let p be the true proportion of persons who work less than 40 hours per week. A point estimate of p is  because about 30.1 percent of the sample work less than 40 hours per week. We can estimate the standard deviation of  as . A  confidence interval is given by , then, a 68% confidence interval is , i.e., , i.e., (0.251, 0.351).  is the value that satisfies that there is an area of 0.16 above this and under the standard normal curve.The standard error for a proportion is √(pq/n), where q=1−p.

Hope this answer helps you :)

Have a great day

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3 years ago
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