1. A completed bar diagram to represent the charges of the cable company and Colleen’s savings is shown in the picture below.
2. Yes, the graph shows that the relation of the number of months to amount saved form a function because the input values are uniquely mapped to an output value.
3. Yes, the relation of Krysta's height to her age represent a function, and it's a linear function.
In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
- m represents the slope or rate of change.
- x and y are the points.
- c represents the y-intercept or initial value.
Part 1.
The necessary information such as variable names and constant terms that completes the bar diagram to represent the charges of the cable company and Colleen’s savings are shown in the picture below.
Part 2.
By critically observing graph shown below, we can logically deduce that it shows that the relation of the number of months with respect to the amount saved form a function because the input values are uniquely mapped to an output value.
Part 3.
Yes, the relation between Krysta's height and her age is a function because the set of input values have exactly one output value. Also, the function is a linear function because the rate of change is constant and would produce a straight line graph.
Complete Question:
You can use a bar diagram to help you write the equation of a linear function.
A cable company charges a $50 monthly fee for basic cable and $8 per
month for each premium channel a customer orders.
Colleen opened a savings account with $50. She plans to deposit $20 each month into the account.
1. Complete the bar diagram to represent Colleen’s savings.
2. Does the graph show that the relation of the number of months to amount saved form a function? Explain.
3. From ages 6 through 10, Krysta grew one inch each year.
Does the relation of her height to her age represent a function? If so, is it a linear function? Explain.