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Plot the ordered pairs. Then, determine the type of graph.
Find the slope of the line.
Substitute the given value into the equation written in Part B.
Graph:
Type of Function: Linear
Equation: y=0.12x
$1.20
The given table shows the relationship between the cost of an international call and the length of the call.
| Length of call (min) | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Cost ($) | 0.12 | 0.24 | 0.36 | 0.48 | 0.60 | 0.72 |
Let's plot these data points as ordered pairs on the coordinate plane.
The graph of the ordered pairs seem to be linear.
We can model the cost of an international call y as a function of the length of the call x by using a linear function. Let's recall the general form of a linear function.
y=mx+b
Here, m is the slope and b is the y-intercept of the line. From the graph in Part A, we see that the y-intercept is 0. Let's substitute it into the function.
x= 1, y= 0.12
Identity Property of Multiplication
Rearrange equation
The slope of the linear function is 0.12. Then, the function below models the data. y= mx ⇓ y= 0.12x
We can find the cost of a 10-minute call by substituting 10 for x in the model we found in Part B and simplifying. Let's do it!
We found that a 10-minute international call would cost $1.20.