Time Distance Distance / Time
2hrs 90 miles 90 miles / 2 hrs = 45 miles / hr
3hrs 135 miles 135 miles / 3 hrs = 45 miles / hr
5hrs 225 miles 225 miles / 5 hrs = 45 miles / hr
6hrs 270 miles 270 miles / 6 hrs = 45 miles / hr
Constant of proportionality is 45 miles / hr. This is the same for the four values. The unit rate is also 45 miles / hr.
Let us assume the Distance , d is directly proportional to Time, t
d α t
d = kt
Constant of proportionality is k which is D/T
d = 45t
Answer:
32
Step-by-step explanation:
(12+4) x 2 = 32
Answer: -3x²-9x+84
Step-by-step explanation:
Let the zeros be r1 and R2
The equation of a parabola going through those two zeros is
y=a(x−r1)(x−r2)
Answer:

Step-by-step explanation:
Given

Required
To determine if it is an exponential function, we have to write in form of

If we're able to do so, then the function is an exponential function.
If otherwise, then it is not

Apply Law of indices

Express 5^3 as 125

Factorize the exponent of 5

Express 5^2 as 25

This can be rewritten as:

By comparing the above to 
We have that


Since, we've be able to express the function as 
Then,
is an exponential function