Question

The scatter plot shows the average starting salaries for graduates of 8 universities along with the annual tuition costs for those
universities.
Average Starting Salaries
ū851
80
75
•
Starting Salary
(thousands of dollars)
-Trend Line
45
40
41 42 43 44 45 46
Annual Tuition Cost
(thousands of dollars)
The trend line marked on the plot best models the relationship between average starting salary (s) and tuition costs (c), both in
thousands of dollars, and is described by this equation:
s = 0.900 + 26.4
What does the slope of the trend line represent?
a $27,300 increase in salary per $1,000 increase in annual tuition costs
a base salary of $26,400
Ооос
a $900 increase in salary per $1,000 increase in annual tuition costs
a base salary of $27,300
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Answer 1

The slope of the trend line is 0.90 ($900), which represents an increase in salary of $900 for every $1,000 increase in annual tuition cost. (Third Option).

Recall:

• Slope of a trend line usually depicts a unit rate between two variables.

• The equation of a trend line is usually represented in slope-intercept form as, y = mx + b.

• Where, m is the slope, x and y are the two variables that are changing, while b is the initial value.

Given the equation representing the trend line as, s = 0.90c + 26.4

The slope of the trend line would be 0.90, which is $900.

This means that, there is an increase in salary of $900 for every $1,000 increase in annual tuition cost. (Third Option).

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