Without graphing, tell whether the slope of a line that models the linear relationship is positive, negative, zero, or undefined. Then find the slope.
The total cost, including shipping, for ordering five uniforms is $66. The total cost, including shipping, for ordering eight uniforms is $101.
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Part 1
Choose the correct answer below.
A.
The slope of the relationship is negative.
B.
The slope of the relationship is zero.
C.
The slope of the relationship is positive.
D.
The slope of the relationship is undefined.
A. 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.
A. The slope is [(-101 - 66)/(8 - 5)]. (Simplify your answer.)
you sure?
Apologies for the incorrect response earlier. Let's find the correct slope now.
To find the slope, we can use the formula:
slope = (change in y)/(change in x)
Considering the given information:
The total cost for ordering five uniforms is $66, and the total cost for ordering eight uniforms is $101.
Change in y = $101 - $66 = $35
Change in x = 8 - 5 = 3
slope = (35/3)
Hence, the correct answer is:
A. The slope is 35/3.
To determine the slope of a linear relationship without graphing, you can use the formula for slope:
slope = (change in y-values) / (change in x-values)
In this case, we are given two data points: (5, $66) and (8, $101).
The change in y-values is the difference in total cost, which is $101 - $66 = $35.
The change in x-values is the difference in the number of uniforms, which is 8 - 5 = 3.
Now we can calculate the slope:
slope = ($35) / (3) = $11.67.
Since the slope is positive, the correct answer is C. The slope of the relationship is positive.