Question

A city lunch program for seniors received a grant of 1.925×10^6
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)
Responses

0.7×105
  0.7 times 10 superscript 5 baseline

7×105
7 times 10 superscript 5 baseline

7×106
  7 times 10 superscript 6 baseline

0.7×106
  0.7 times 10 superscript 6 baseline
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Answer 1

To determine how many senior lunches the grant can provide, divide the total amount of the grant by the cost per lunch:

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

Calculating the division:

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

Now, keeping in mind the exponent from the scientific notation of the grant:

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

This can also be written in proper scientific notation by adjusting the decimal:

\[
0.700 \times 10^6 = 7.00 \times 10^5
\]

Thus, the final answer, in scientific notation, is:

\[
7 \times 10^5
\]

The correct response is:

**7×10^5**.