ave. rate of change of line y = 3x^2 – x between x = 3 & x = 5

[adam2016]

ave. rate of change of line y = 3x^2 – x between x = 3 & x = 5

Hi I'm studying for a calculus test I understand how to get a slope and when a number is beside an x when written as an eqution y = mx + 1 the variable for x will be the slope but in my question the slope is x^2(x squared) which is totally confusing me,can anyone help walk me through how to get the answer


here is the question


If two variables x and y are related by the equation y = 3x2 – x calculate the average rate of change of y with respect to x as x varies from 3 to 5.


thanks,

 

[Deleted member 4993]

Hi I'm studying for a calculus test I understand how to get a slope and when a number is beside an x when written as an eqution y = mx + 1 the variable for x will be the slope but in my question the slope is x^2(x squared) which is totally confusing me,can anyone help walk me through how to get the answer


here is the question


If two variables x and y are related by the equation y = 3x2 – x calculate the average rate of change of y with respect to x as x varies from 3 to 5.


thanks,

I assume your function is:

y(x) = 3x² -x

To calculate average rate of change between x = a and x = b, you need to evaluate:

[y(b) - y(a)]/(b-a)

 

[stapel]

If two variables x and y are related by the equation y = 3x² – x, calculate the average rate of change of y with respect to x as x varies from 3 to 5.

What formula did your calculus class (or book) give you for finding "average rates of change"? Plug into that formula.