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densk [106]
2 years ago
11

A graph titled Fast Freddy has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through points (0, 0

) and (4, 1). A 2-column table with 3 rows titled Speed Sam. Column 1 is labeled Time (minutes) x with entries 4, 20, 32. Column 2 is labeled Distance (miles) y with entries one-half, 2 and one-half, 4.
Find the slope from the graph and from the table to compare the speeds of two marathon runners.

What is the constant speed of Fast Freddy?

1/4
What is the constant speed of Speedy Sam?

Who ran faster?
Mathematics
1 answer:
Eduardwww [97]2 years ago
6 0

The constant speed of Fast Freddy is 0.25 miles per minute and the constant speed of Speedy Sam is 0.125 miles per minute

<h3>The complete question</h3>

The question is incomplete as the graphs and the tables are missing.

However, the points given in the question can be used to represent the graph and the table

<h3>The slopes of the graph and the table?</h3>

By interpreting the points, we have:

<u>Graph</u>

(x, y) = (0, 0) and (4, 1)

<u>Table</u>

x           y

4           0.5

20         2.5

32         4

The slope is calculated using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

Graph: m = \frac{1 -0}{4 -0} = 0.25

Table: m = \frac{4 -2.5}{32 -20} = 0.125

<h3>Their constant speeds</h3>

Freddy's speed is represented by the graph, while Sam's speed is represented by the table

Hence, the constant speed of Fast Freddy is 0.25 miles per minute and the constant speed of Speedy Sam is 0.125 miles per minute

<h3>Who ran faster?</h3>

Freddy ran faster because 0.25 is greater than 0.125

Read more about graphs and tables at:

brainly.com/question/27489675

#SPJ1

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If we divide the numerator and denominator of (6/8) by 2, will its value be changed?
astraxan [27]

Answer:

Step-by-step explanation:

6/8 in simplest form is 3/4 but value is still the same so

1. no

3 0
3 years ago
Which table represents a direct variation? Table A x 4 6 8 10 y 7 9 11 13 Table B x 4 6 8 10 y 12 18 24 30 Table C x 4 6 8 10 y
Greeley [361]

Answer:

We conclude that 'Table B' represents a direct variation.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

Table A

x     4 6 8 10

y     7 9 11 13

Finding k for all the pairs of x and y

k = y/x

k = 7/4, k = 9/6 = 3/2, k = 11 / 8, k = 13/11

As constant of proportionality 'k' does not remain constant.

Hence, table A does not represent a direct variation

Table B

x     4   6   8   10

y     12 18 24 30

Finding k all the pairs of x and y

k = y/x

k = 12/4 = 3, k = 18/6 = 3, k = 24/8 = 3, k = 30/10 = 3

As the constant of proportionality remains constant.

Therefore, the value of k = 3 for all the points in the table.

Hence, table B represents a direct variation.

Table C

x     4   6   8   10

y     1    3    5    7

Finding k all the pairs of x and y

k = y/x

k = 1/4, k = 3/6 = 1/2, k = 5/8, k = 7/10

As the constant of proportionality 'k' does not remain constant.

Hence, table C does not represent a direct variation.

Table D

x     4   6   8   10

y     3   3   3    3

Finding k all the pairs of x and y

k = y/x

k = 3/4, k = 3/6, k = 3/8, k = 3/10

As the constant of proportionality 'k' does not remain constant.

Hence, table D does not a direct variation.

Therefore, we conclude that 'Table B' represents a direct variation.

8 0
3 years ago
Read 2 more answers
Calculate the area of quadrilateral ABCD.<br> State the units of your answer.
cluponka [151]

Answer:

158.76 cm²

Step-by-step explanation:

Quadrilateral ABCD is composed of 2 right triangles

Construct the line BD, then

Δ ABD and Δ BCD are the 2 right triangles.

The area (A) of a triangle is calculated using

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

Δ ABD with b = 18 and h = 7.5

A = \frac{1}{2} × 18 × 7.5 = 9 × 7.5 = 67.5 cm²

Δ BCD with b = 15.6 and h = 11.7

A = \frac{1}{2} × 15.6 × 11.7 = 7.8 × 11.7 = 91.26 cm²

Thus

area of ABCD = 67.5 + 91.26 = 158.76 cm²

3 0
3 years ago
Item 1 The value of a car is $23,000. It loses 11.1% of its value every year. Find the approximate monthly decrease in value. Ro
IrinaK [193]

Answer:

<h2>$212.8</h2>

Step-by-step explanation:

If the car loses 11.1% per year, we need to calculate how much money is that:

23,000\frac{11.1}{100} = 2,553.; this value is the lost per year.

Now, in order to calculate this loss per month, we divide it by 12:

\frac{2553}{12} =212.75

Hence, the monthly value decrease is $212.8, rounding it to the tenth.

7 0
4 years ago
Find the area of each figure.
taurus [48]
176ft^2 first
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