Me

what is the unit rate expressed in the graph?
a) 2 miles/minute
b) 5 miles/minute
c) 5/2 miles/minute
d) 2/5 miles/minute

D) 2/5 miles/minute

Step-by-step explanation:

In order to find the slope of the line (m), we will use the following expression.

m = y₂ - y₁ / x₂ - x₁

where

(x₁, y₁) and (x₂, y₂) are any two points through which the line passes.

When the time is 0 minutes (x₁ = 0 min), the miles traveled are 0 miles (y₁ = 0 miles).

When the time is 15 minutes (x₂ = 15 min), the miles traveled are 6 miles (y₂ = 6 miles).

The slope of the line is:

m = 6 mi - 0 mi / 15 min - 0 min = 2/5 mi/min

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.