Question

HELP PLEASE................

Answer 1

The cheetah will run 1,470 meters in 1 minute

The cheetah ran 24.5 meters per second

After 10 seconds, the cheetah will have run 245 meters

Explanation:

Let

y ----> the distance in meters

x-----> the time in seconds

we know that

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

In this problem we have a proportional variation

The value of the constant of proportionality is equal to

`k=(y)/(x)`

For x=8 sec, y=196

substitute

`k=(196)/(8)=24.5\ m/sec`

The constant of proportionality or slope is equal to the speed

The linear equation is

`y=24.5x`

Verify each statement

Option 1) The cheetah will run 1,470 meters in 1 minute

The statement is true

Because

For x=1 min=60 sec

substitute in the linear equation

`y=24.5(60)=1,470\ m`

Option 2) The cheetah ran 125 meters in 6 seconds

The statement is false

Because

For x=6 sec

substitute in the linear equation

`y=24.5(6)=147\ m`

Option 3) It took the cheetah 5 seconds to run 125 meters

The statement is false

Because

For x=5 sec

substitute in the linear equation

`y=24.5(5)=122.5\ m`

Option 4) The cheetah ran 24.5 meters per second

The statement is true

Because

The speed of the cheetah is equal to the constant of proportionality k or slope of the linear equation

`k=24.5\ m/sec`

Option 5) After 10 seconds, the cheetah will have run 245 meters

The statement is true

Because

For x=10 sec

substitute in the linear equation

`y=24.5(10)=245\ m`