Question

Which equation represents a football player who runs 5yds/sec and starts on the 25 yard line?

Question 1 options:

y = 5x + 25


y = 5x - 25


y = 25x + 5


y = 25x - 5


Based on these equations, which one represents the greatest rate?

Question 2 options:

y = 1/2 x + 8


y = 2x + 4


y = 4x + 2


y = 7x + 5

Answer 1

Question 1 is y= 25x +5
Question 2 is y=7x +5

Answer 2

Question 1:

we are given that

A football player who runs 5yds/sec and starts on the 25 yard line.

So here rate is 5yds/sec

and 25 yards is the y- intercept.

Hence it can be written as

`y=5x+25`

Question 2:

Based on the given equations, which one represents the greatest rate?

As we know in the standard form of equation of starlight line

`y=mx+b`

m represents the rate or gradient.

As we can observe from the given options
`y = 7x + 5` has the greatest gradient.

Hence the correct option is
`y = 7x + 5`