Pierce works at a tutoring center on the weekends. at the center, they have a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use.

each key on the student calculators is 18 millimeters wide, and each key on the demonstration calculator is 3.6 centimeters wide. if the student calculators are 255 millimeters tall, how tall is the demonstration calculator?
a. 0.51 meter
b. 51 meters
c. 0.036 meter
d. 9.18 meters

answer:

a. 0.51 meters

step-by-step explanation:

1. convert the key width of the student calculator to cm (18/10=1.8cm)

2. divide the key width of the demonstration calculator by the key width of the student calculator to find the ratio between the widths (3.6cm/1.8cm=2)

3. apply the ratio to the height of the calculator to find the height of the demonstration calculator (255mm x 2 = 510mm)

4. convert height to m (510mm/1000 = 0.51m)

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.

the answer is  

a.

4,624π mm2

step-by-step explanation: