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 $7 for 1 h and $28 for h
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Part 1
Choose the correct answer below.
A.
The slope of the relationship is zero.
B.
The slope of the relationship is negative.
C.
The slope of the relationship is positive.
D.
The slope of the relationship is undefined.
B.
The slope of the relationship is negative.
Find the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The slope is [ ]. (Simplify your answer.)
B.
The slope is undefined.
The slope can be found using the formula: slope = change in y / change in x.
In this case, the babysitter earns $7 for 1 hour and $28 for h hours. The change in y is $28 - $7 = $21, and the change in x is h - 1 = h - 1.
Therefore, the slope is given by:
slope = (change in y)/(change in x) = $21/(h - 1)
So, the slope is A. The slope is 21/(h - 1). (Simplify your answer if needed.)
To determine the slope of a line that models a linear relationship, we can use the formula for slope, which is "rise over run". This means that the slope is equal to the change in the y-values divided by the change in the x-values.
In this case, we are given that a babysitter earns $7 for 1 hour and $28 for h hours. Let's represent the time as x and the earnings as y.
We can calculate the slope by finding the change in earnings divided by the change in time. The change in earnings is $28 - $7 = $21, and the change in time is h - 1.
Therefore, the slope of the relationship is 21 / (h - 1).
Now, let's analyze the options. Since we don't have any specific value for h, we cannot determine the exact numerical value of the slope. However, we can still determine whether the slope is positive, negative, zero, or undefined based on the given information.
Since the babysitter earns more money as the number of hours increases (given by $7 for 1 hour and $28 for h hours), we know that the change in earnings is positive. Therefore, the slope of the relationship is positive.
So, the correct answer is: C. The slope of the relationship is positive.