Question

Justin is working with a microscope that magnifies objects to 175 times their actual size.

Part A

Enter a number in each box to determine the scale factor for the microscope.

Part B

The diameter of an amoeba cell is 0.30 millimeter. How big will the cell appear to Justin under the microscope?

millimeters

Part C

What is the percent increase of the area of the amoeba cell under the microscope?

%

Answer 1

Part A

Scale factor

= 1 : 175

Part B

52.5 mm

Part C

99.4%

Explanation:

Justin is working with a microscope that magnifies objects to 175 times their actual size.

Part A

Enter a number in each box to determine the scale factor for the microscope.

= 1 : 175

Part B

The diameter of an amoeba cell is 0.30 millimeter. How big will the cell appear to Justin under the microscope?

Scale factor =

1 : 175

Diameter of the Amoeba cell = 0.3mm

1mm = 175 mm

0.3mm = x

Cross Multiply

x = 0.3 × 175

x = 52.5 mm

Part C

What is the percent increase of the area of the amoeba cell under the microscope?

Increase = 52.5 mm - 0.3mm

= 52.2 mm

Percent increase

= 52.2/52.5 × 100

= 99.4%