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 senior lunches the grant can provide. Write the answer in scientific notation.(1 point)

Question

Responses

0.7×10 to the power of 5
0.7 times 10 superscript 5 baseline

7×10 to the power of 6
7 times 10 superscript 6 baseline

0.7×10 to the power of 6
0.7 times 10 superscript 6 baseline

7×10 to the power of 5

Answer 1

To determine how many senior lunches the grant can provide, we need to divide the total grant amount by the cost per lunch.

Given:

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

First, we divide the grant amount by the cost per lunch:

\[ \frac{1.925 \times 10^6}{2.75} \]

Calculating \( \frac{1.925}{2.75} \):

\[ \frac{1.925}{2.75} \approx 0.700 \]

Now, we can express this in scientific notation:

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

So, the total number of lunches the grant can provide is:

\[ \boxed{7 \times 10^{5}} \]