To find the missing repair time corresponding to the cost of $630, we first observe the relationship between the repair time and cost in the table.
From the table, we can see:
- For 2 hours, the cost is $180.
- For 5 hours, the cost is $450.
- For 10 hours, the cost is $900.
- For 20 hours, the cost is $1,800.
Now we can look for a consistent pattern. Let's calculate the cost per hour for the known values:
- For 2 hours:
\[
\frac{180}{2} = 90 \text{ dollars per hour}
\]
- For 5 hours:
\[
\frac{450}{5} = 90 \text{ dollars per hour}
\]
- For 10 hours:
\[
\frac{900}{10} = 90 \text{ dollars per hour}
\]
- For 20 hours:
\[
\frac{1800}{20} = 90 \text{ dollars per hour}
\]
The cost appears to increase linearly at a rate of $90 per hour.
Since we are looking for the repair time corresponding to a cost of $630, we can set up the following equation based on the cost per hour:
\[
\text{Cost} = \text{Repair Time (hours)} \times 90
\]
Substituting the cost of $630 into the equation:
\[
630 = \text{Repair Time} \times 90
\]
Now we can solve for the repair time:
\[
\text{Repair Time} = \frac{630}{90}
\]
Calculating that gives us:
\[
\text{Repair Time} = 7
\]
Thus, the missing number in the third row of the table is 7 hours.
Therefore, the expression that can be used to find the missing number is:
\[
\text{Repair Time} = \frac{630}{90}
\]