Certainly! We need to complete the table for the equation \( d = 10c + 250 \). Below are the steps to find the values of \( d \) for the given \( c \) values.
1. Calculation for \( c = 10 \):
- Given \( c = 10 \), substitute \( c \) in the equation:
[tex]\[
d = 10 \cdot 10 + 250
\][/tex]
- Simplify it:
[tex]\[
d = 100 + 250 = 350
\][/tex]
- So, when \( c = 10 \), \( d = 350 \).
2. Calculation for \( c = 20 \):
- Given \( c = 20 \), substitute \( c \) in the equation:
[tex]\[
d = 10 \cdot 20 + 250
\][/tex]
- Simplify it:
[tex]\[
d = 200 + 250 = 450
\][/tex]
- So, when \( c = 20 \), \( d = 450 \).
3. Calculation for \( c = 30 \):
- Given \( c = 30 \), substitute \( c \) in the equation:
[tex]\[
d = 10 \cdot 30 + 250
\][/tex]
- Simplify it:
[tex]\[
d = 300 + 250 = 550
\][/tex]
- So, when \( c = 30 \), \( d = 550 \).
4. Calculation for \( c = 40 \):
- Given \( c = 40 \), substitute \( c \) in the equation:
[tex]\[
d = 10 \cdot 40 + 250
\][/tex]
- Simplify it:
[tex]\[
d = 400 + 250 = 650
\][/tex]
- So, when \( c = 40 \), \( d = 650 \).
Now, we can complete the table:
[tex]\[
\begin{tabular}{c|c}
c & d \\ \hline
10 & 350 \\
20 & 450 \\
30 & 550 \\
40 & 650 \\
\end{tabular}
\][/tex]
