Math Problem Statement
Fyll i tabellen och rita grafen i diagrammet (y = 50x + 100).
Solution
The problem involves a linear equation for cost:
where represents hours and represents cost in kronor.
Completing the table:
-
Given: When ,
-
For :
-
For :
-
For :
Thus, the completed table should be:
Timmar (x) | Kostnad (y) |
---|---|
0 | 100 |
1 | 150 |
2 | 200 |
4 | 300 |
Would you like an explanation of how to plot these points on the graph?
Related Questions:
- What does the constant term represent in this equation?
- How does increasing by 1 affect the total cost?
- What would the cost be for ?
- How can you determine the slope of the line from the equation?
- How would the equation change if the starting cost was instead of ?
Tip:
A linear equation in the form has a slope , which tells you how much increases per unit increase in . Here, the slope means the cost increases by 50 kr per hour.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope and Intercept
Graphing
Formulas
y = mx + b
Theorems
Slope-Intercept Form
Suitable Grade Level
Grades 7-9