To determine the number of senior lunches the grant can provide, you need to divide the total amount of the grant by the cost per lunch.
Given:
- Grant amount: \(1.925 \times 10^3\) dollars
- Cost per lunch: $2.75
First, divide the grant amount by the cost per lunch:
\[ \text{Number of lunches} = \frac{1.925 \times 10^3}{2.75} \]
To perform the division, we can first calculate \(1.925 \div 2.75\):
\[ 1.925 \div 2.75 \approx 0.700 \]
Next, we have to account for the factor of \(10^3\) in the grant amount:
\[ \frac{1.925 \times 10^3}{2.75} \approx 0.700 \times 10^3 \]
To express \(0.700\) in scientific notation, we rewrite \(0.700\) as \(7.00 \times 10^{-1}\). Thus:
\[ 0.700 \times 10^3 = 7.00 \times 10^{-1} \times 10^3 = 7.00 \times 10^{2} \]
Now, we can conclude:
\[ \text{Number of lunches} \approx 7.00 \times 10^2 \]
So, the grant can provide approximately \(7.00 \times 10^2\) senior lunches.