The rate of change when x increases and the first difference equal to 45.5 is 6.5. Then the correct option is A.
What is the slope?
The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope is given as
[tex]\rm Slope = \dfrac{Rise \ or \ fall}{Run}[/tex]
If x increases by 7 in each row of a table of values and the first differences are all equal to 45.5. Then the rate of change will be given by the slope.
[tex]\rm \\Slope = \dfrac{45.5}{7} = 6.5[/tex]
The rate of change is 6.5.
More about the slope link is given below.
https://brainly.com/question/3605446
