Question

The equation below shows how Dasha decides how much juice to buy for a party. In the equation, g is the number of gallons of juice she buys, and t is the length of the party in hours.

\large g=3t+5



Complete the table


hours, t gallons, g
1
2
3
4
5

Answer 1

To complete the table, we need to use the equation \( g = 3t + 5 \) to calculate the number of gallons \( g \) of juice for each given length of the party \( t \) in hours.

Let's calculate the values for \( t = 1, 2, 3, 4, 5 \):

1. For \( t = 1 \):
\[
g = 3(1) + 5 = 3 + 5 = 8
\]

2. For \( t = 2 \):
\[
g = 3(2) + 5 = 6 + 5 = 11
\]

3. For \( t = 3 \):
\[
g = 3(3) + 5 = 9 + 5 = 14
\]

4. For \( t = 4 \):
\[
g = 3(4) + 5 = 12 + 5 = 17
\]

5. For \( t = 5 \):
\[
g = 3(5) + 5 = 15 + 5 = 20
\]

Now we can fill in the table:

\[
\begin{array}{|c|c|}
\hline
\text{hours, } t & \text{gallons, } g \\
\hline
1 & 8 \\
2 & 11 \\
3 & 14 \\
4 & 17 \\
5 & 20 \\
\hline
\end{array}
\]