Question

Red kangaroos can reach speeds up to 50 feet per second. Use the linear graph at the left to answer the questions. What is the change in y-values from Point A to Point B? What is the change in x-values from Point A to Point B? What is the rate of change of the linear function? feet per second

Answer 1

Answer:

What is the change in y-values from

Point A to Point B?

50

What is the change in x-values from

Point A to Point B?

1

What is the rate of change of the linear function?

50

feet per second

Step-by-step explanation:

Answer 2

The change in y-values from Point A to Point B is from 0 to 50feet.  What is the change in x-values from Point A to Point B is 0 to 1 second. Rate of change of the linear function is given by y = 50x (feet per second).

What is linear function?

" Linear function is defined as the algebraic expression which represents the relation between the variables with highest exponent equals to 1."

Formula used

$\frac{y-y_{1} }{x-x_{1} } =\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

According to the question,

Given,

Speed of Red kangaroos can reach = 50 feet per second

Number of feet represent by y - axis

Time represent by x-axis

When

$x_{1} = 0 seconds \\\\y_{1} = 0 feet$

When

$x_{2} = 1 seconds \\\\y_{2} = 50 feet$

Change in y-values from point A to B  is given by $(y_{1}, y_{2} ) = (0,50)$

Change in x-values from point A to B  is given by $(x_{1}, x_{2} ) = (0,1)$

Rate of change of the linear function

$\frac{y-0 }{x-0 } =\frac{50-0}{1-0}$

⇒$y= 50x$

Hence, the change in y-values from Point A to Point B is from 0 to 50feet.  What is the change in x-values from Point A to Point B is 0 to 1 second. Rate of change of the linear function is given by y = 50x (feet per second).

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