Data:
late return fee: $3.50 + $0.15 per day
d=number of days
The equation to find the total fee f for any number of days d is:
[tex]f(d)=0.15d+3.50[/tex]
To find the data in the table you use the given number of days and substitute the d in the equation above, as follow:
10 days:
[tex]\begin{gathered} f(10)=0.15(10)+3.50 \\ f(10)=1.5+3.50 \\ f(10)=5 \end{gathered}[/tex]
15 days:
[tex]\begin{gathered} f(15)=0.15(15)+3.50 \\ f(15)=2.25+3.50 \\ f(15)=5.75 \end{gathered}[/tex]
20 days:
[tex]\begin{gathered} f(20)=0.15(20)+3.50 \\ f(20)=3+3.50 \\ f(20)=6.50 \end{gathered}[/tex]
25 days:
[tex]\begin{gathered} f(25)=0.15(25)+3.50 \\ f(25)=3.75+3.50 \\ f(25)=7.25 \end{gathered}[/tex]
Then, the table is:
And the graph is:
You use the data in the table whit d in x-axis and f(d) in y-axis:
