Math

QuestionEstimate the number of bananas purchased in a year if 130 bananas are bought per second. Use 3.2×1073.2 \times 10^{7} seconds/year.

Studdy Solution

STEP 1

Assumptions1. The rate of banana purchase is130 bananas per second. There are approximately 3.×1073. \times10^{7} seconds in a year3. We are asked to find the total number of bananas purchased in one year4. The answer should be in scientific notation

STEP 2

To find the total number of bananas purchased in a year, we need to multiply the rate of banana purchase (bananas per second) by the total number of seconds in a year.
Totalbananas=RateofpurchasetimesTotalsecondsinayearTotal\, bananas = Rate\, of\, purchase \\times Total\, seconds\, in\, a\, year

STEP 3

Now, plug in the given values for the rate of purchase and the total seconds in a year to calculate the total bananas.
Totalbananas=130times3.2×107Total\, bananas =130 \\times3.2 \times10^{7}

STEP 4

Perform the multiplication to find the total number of bananas purchased in a year.
Totalbananas=130times3.2×107=4.16×109Total\, bananas =130 \\times3.2 \times10^{7} =4.16 \times10^{9}The total number of bananas purchased in one year is approximately 4.16×1094.16 \times10^{9}.

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