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3 years ago

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

Cyclist A

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

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

Cyclist B

Looking at the table

For x=1 h, y=5 mi

$k=y/x$

substitute

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

Cyclist C

we have

$y=9x$

Remember that the unit rate is equal to the slope

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

Cyclist D

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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Answer:

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4 years ago

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2 years ago

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Answer:

V = -80,000*t + 1,000,000

Step-by-step explanation:

Given:

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- Total number of years n = 10

Find:

Using straight-line depreciation, find the equation for the value V in terms of t, where t is in years.

Solution:

- The straight line depreciation method means their is a linear relationship between the value of building and time elapsed till useful life. The linear relationship takes a form:

V = m*t + C

Where,

V: It is the current value of the building

m: The rate at which value increase or decrease with time t

C: The initial value of the building

- We will compute constants m and C as follows:

m = (V_f - V_i) / ( 10 - 0 )

m = (200,000 - 1,000,000) / 10

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4 years ago

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4 years ago

Read 2 more answers

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The formula is:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$