Math Problem Statement

Fyll i tabellen och rita grafen i diagrammet (y = 50x + 100).

Solution

The problem involves a linear equation for cost:
y=50x+100y = 50x + 100 where xx represents hours and yy represents cost in kronor.

Completing the table:

  1. Given: When x=0x = 0,
    y=50(0)+100=100y = 50(0) + 100 = 100

  2. For x=1x = 1:
    y=50(1)+100=50+100=150y = 50(1) + 100 = 50 + 100 = 150

  3. For x=2x = 2:
    y=50(2)+100=100+100=200y = 50(2) + 100 = 100 + 100 = 200

  4. For x=4x = 4:
    y=50(4)+100=200+100=300y = 50(4) + 100 = 200 + 100 = 300

Thus, the completed table should be:

Timmar (x)Kostnad (y)
0100
1150
2200
4300

Would you like an explanation of how to plot these points on the graph?

Related Questions:

  1. What does the constant term 100100 represent in this equation?
  2. How does increasing xx by 1 affect the total cost?
  3. What would the cost be for x=3x = 3?
  4. How can you determine the slope of the line from the equation?
  5. How would the equation change if the starting cost was 120120 instead of 100100?

Tip:

A linear equation in the form y=mx+by = mx + b has a slope mm, which tells you how much yy increases per unit increase in xx. Here, the slope 5050 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