Without graphing, tell whether the slope of a line that models the linear relationship is positive, negative, zero, or undefined. Then find the slope.
A babysitter earns $10 for 1 h and $30 for 3 h.
Choose the correct answer below.
OA. The slope of the relationship is negative.
B. The slope of the relationship is zero.
OC. The slope of the relationship is positive.
OD. The slope of the relationship is undefined.
The slope of the relationship is positive.
To find the slope, we can use the formula:
slope = change in y / change in x
In this case, the change in x is 2 hours (from 1 hour to 3 hours) and the change in y is $20 (from $10 to $30).
slope = 20 / 2 = 10
So, the slope of the relationship is positive and equal to 10.
Therefore, the correct answer is OC. The slope of the relationship is positive.