SOMEONE, PLEASE HELP

Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer.

39

Step-by-step explanation:

The rate of change is found by

f(x2) -f(x1)

x2 -x1

x2 is 3 and x1 is 1

f(3) = 3 x^3 +1 = 3(3)^3 +1 81+1 =82

f(1) = 3(1)^3 +1 = 3+1 =4

82 -4

3-1

78

2

39

39

Step-by-step explanation:

Find the function values for the given x

Subtract to get the change in f(x)

Divide by the change in x

f(3) = 3(3)³ + 1 = 82

f(1) = 3(1)³ + 1 = 4

Average rate of change:

(82 - 4)/(3 - 1)

78/2

39

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.