QuestionIndira charges a flat fee of , plus per hour to teach violin
If you create a linear equation for how much money Indira makes after a given number of hours, which statements are true about the linear equation?
Select all that apply.
The -intercept of the linear equation is 10.
The slope of the linear equation is 5 .
The slope of the linear equation is , or 2 .
The -intercept of the linear equation is 0 .
The -intercept of the linear equation is 5 .
The slope of the linear equation is 10.
Studdy Solution
STEP 1
1. Indira charges a flat fee of 5 per hour for teaching violin.
3. We are tasked with creating a linear equation to represent Indira's earnings based on the number of hours she teaches.
STEP 2
1. Define the variables and construct the linear equation.
2. Identify the components of the linear equation: slope and y-intercept.
3. Evaluate the given statements about the linear equation.
STEP 3
Define the variables:
- Let represent the number of hours Indira teaches.
- Let represent the total amount of money Indira makes.
Construct the linear equation:
The equation will be in the form , where is the slope and is the y-intercept.
Given:
- Flat fee (y-intercept) = 5
Thus, the linear equation is:
STEP 4
Identify the components of the linear equation: - The slope is 5, which represents the rate of 5 per hour. - The y-intercept \( b \) is 10, which represents the flat fee of 10.
STEP 5
Evaluate the given statements:
- The -intercept of the linear equation is 10. (True)
- The slope of the linear equation is 5. (True)
- The slope of the linear equation is , or 2. (False)
- The -intercept of the linear equation is 0. (False)
- The -intercept of the linear equation is 5. (False)
- The slope of the linear equation is 10. (False)
The true statements are:
- The -intercept of the linear equation is 10.
- The slope of the linear equation is 5.
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