Math Problem Statement

Using the equation from the last problem: g = 2m + 10, fill in the missing value in the table.

Solution

The equation given is g=2m+10g = 2m + 10, where mm represents the values in the first column of the table and gg represents the values in the second column. Let's solve for the missing value in the table.

The table provides the following values:

mg
010
2?
520
1540

To find the missing value for gg when m=2m = 2, we substitute m=2m = 2 into the equation:

g=2m+10g = 2m + 10 g=2(2)+10=4+10=14g = 2(2) + 10 = 4 + 10 = 14

So, when m=2m = 2, g=14g = 14.

Would you like more details or have any questions about this solution? Here are five related questions to deepen your understanding:

  1. What happens to the value of gg as mm increases?
  2. Can you determine the pattern of increase in the values of gg for each increment in mm?
  3. How would you solve for mm if you are given a value of gg?
  4. What would be the value of gg if m=10m = 10?
  5. How can you graph the equation g=2m+10g = 2m + 10 and interpret the slope?

Tip: The equation g=2m+10g = 2m + 10 represents a linear relationship where the slope indicates how much gg changes for each unit change in mm.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

g = 2m + 10

Theorems

-

Suitable Grade Level

Grades 6-8