QuestionFind the expected bacteria on a 1.5 ft by 2 ft countertop, given 452 bacteria/in². Round to the highest place value.

Studdy Solution

STEP 1

Assumptions1. The average amount of bacteria on a bathroom countertop is452 bacteria per square inch. . The countertop is rectangular and measures1.5 feet by feet.
3. We need to convert the countertop measurements from feet to inches because the bacteria count is given per square inch. (1 foot =12 inches)
4. We need to find the area of the countertop first to calculate the total amount of bacteria.

STEP 2

First, we need to convert the measurements of the countertop from feet to inches.
$Length =1.5\, feet =1.5 \times12\, inches$ $Width =2\, feet =2 \times12\, inches$

STEP 3

Now, calculate the length and width in inches.
$Length =1.5 \times12 =18\, inches$ $Width =2 \times12 =24\, inches$

STEP 4

Now, we can calculate the area of the countertop in square inches. The area of a rectangle is given by the formula $Area = Length \times Width$

STEP 5

Plug in the values for the length and width to calculate the area.
$Area =18\, inches \times24\, inches$

STEP 6

Calculate the area of the countertop.
$Area =18 \times24 =432\, square\, inches$

STEP 7

Now that we have the area of the countertop, we can calculate the total amount of bacteria on the countertop. This is done by multiplying the area by the average amount of bacteria per square inch.
$Total\, bacteria = Area \times Average\, bacteria\, per\, square\, inch$

STEP 8

Plug in the values for the area and the average bacteria per square inch to calculate the total bacteria.
$Total\, bacteria =432\, square\, inches \times452\, bacteria\, per\, square\, inch$

STEP 9

Calculate the total amount of bacteria on the countertop.
$Total\, bacteria =432 \times452 =195,264\, bacteria$ You would expect to find approximately195,264 bacteria on the bathroom countertop.

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