A city lunch program for seniors received a grant of 1.925*10 to the power of 6 dollars divide that figure by the cost of $2.75 per lunch to find out how many seniors lunches the grant can provide write the answer in scientific notation

1 answer

To find out how many seniors' lunches the grant can provide, you can divide the total grant amount by the cost per lunch.

Given:

  • Grant amount = \( 1.925 \times 10^6 \) dollars
  • Cost per lunch = \( 2.75 \) dollars

Now, let's perform the division:

\[ \text{Number of lunches} = \frac{1.925 \times 10^6}{2.75} \]

First, divide \( 1.925 \) by \( 2.75 \):

\[ 1.925 \div 2.75 \approx 0.700 \]

Now, multiply this result by \( 10^6 \):

\[ \text{Number of lunches} \approx 0.700 \times 10^6 \]

To convert \( 0.700 \) into scientific notation:

\[ 0.700 = 7.00 \times 10^{-1} \]

So:

\[ 0.700 \times 10^6 = 7.00 \times 10^{-1} \times 10^6 = 7.00 \times 10^{5} \]

Thus, the final answer in scientific notation is:

\[ \text{Number of lunches} \approx 7.00 \times 10^5 \]

Therefore, the grant can provide approximately \( 7.00 \times 10^5 \) senior lunches.