Answer :
Let's break down the questions step-by-step based on the information provided:
a. How many additional hours did he work in the second week?
In the first week, Dell worked 15 hours. In the second week, he worked 19 hours. To find out how many more hours he worked in the second week, subtract the hours worked in the first week from the hours worked in the second week:
[tex]\[
\text{Additional Hours} = 19 \text{ hours} - 15 \text{ hours} = 4 \text{ hours}
\][/tex]
b. How much additional pay did he get in the second week?
Dell earned [tex]$375 in both weeks. Since his pay was $[/tex]375 each week, there was no additional pay in the second week:
[tex]\[
\text{Additional Pay} = \$375 - \$375 = \$0
\][/tex]
c. Find the slope of the line that passes through these two points.
The information can be written as two points:
- First point: (15, 375)
- Second point: (19, 375)
The formula for the slope (m) of a line passing through two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is:
[tex]\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\][/tex]
Substituting the given points:
[tex]\[
m = \frac{375 - 375}{19 - 15} = \frac{0}{4} = 0.0
\][/tex]
Thus, the slope is 0.0.
d. Do you think this situation is reasonable? Why or why not?
The situation appears not to be reasonable because Dell worked 4 additional hours in the second week but received the same pay of $375 for both weeks. Typically, when working for additional hours, you would expect additional pay, assuming a standard pay rate system. Hence, it seems unusual that the pay didn't change with the increased hours.
a. How many additional hours did he work in the second week?
In the first week, Dell worked 15 hours. In the second week, he worked 19 hours. To find out how many more hours he worked in the second week, subtract the hours worked in the first week from the hours worked in the second week:
[tex]\[
\text{Additional Hours} = 19 \text{ hours} - 15 \text{ hours} = 4 \text{ hours}
\][/tex]
b. How much additional pay did he get in the second week?
Dell earned [tex]$375 in both weeks. Since his pay was $[/tex]375 each week, there was no additional pay in the second week:
[tex]\[
\text{Additional Pay} = \$375 - \$375 = \$0
\][/tex]
c. Find the slope of the line that passes through these two points.
The information can be written as two points:
- First point: (15, 375)
- Second point: (19, 375)
The formula for the slope (m) of a line passing through two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is:
[tex]\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\][/tex]
Substituting the given points:
[tex]\[
m = \frac{375 - 375}{19 - 15} = \frac{0}{4} = 0.0
\][/tex]
Thus, the slope is 0.0.
d. Do you think this situation is reasonable? Why or why not?
The situation appears not to be reasonable because Dell worked 4 additional hours in the second week but received the same pay of $375 for both weeks. Typically, when working for additional hours, you would expect additional pay, assuming a standard pay rate system. Hence, it seems unusual that the pay didn't change with the increased hours.
