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 , where represents the values in the first column of the table and represents the values in the second column. Let's solve for the missing value in the table.
The table provides the following values:
| m | g |
|---|---|
| 0 | 10 |
| 2 | ? |
| 5 | 20 |
| 15 | 40 |
To find the missing value for when , we substitute into the equation:
So, when , .
Would you like more details or have any questions about this solution? Here are five related questions to deepen your understanding:
- What happens to the value of as increases?
- Can you determine the pattern of increase in the values of for each increment in ?
- How would you solve for if you are given a value of ?
- What would be the value of if ?
- How can you graph the equation and interpret the slope?
Tip: The equation represents a linear relationship where the slope indicates how much changes for each unit change in .
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
g = 2m + 10
Theorems
-
Suitable Grade Level
Grades 6-8