Question

In the following equations, t represents time in hours and m represents mass in mf. Which of them (if any) would have a mass less than 50 mg after 2 hours? Select all that apply.

a. y= 100(0.5)^x
b. y= 500 (0.3)^x
c. y= 80(2)^x
d. y=10(1.2)^x
e. y=30(1.5)^x
f. y=80(0.2)^x
g. y=100(2)^x

Answer 1

a, b, d and f

Explanation:

To find which equation will have a a mass less than 50 mg after 2 hours, we just need to use the value of x = 2 and then verify if the values of y are less than 50:

a. y = 100*(0.5)^2 = 25 -> apply

b. y = 500*(0.3)^2 = 45 -> apply

c. y = 80*(2)^2 = 320 -> doesn't apply

d. y = 10*(1.2)^2 = 14.4 -> apply

e. y = 30*(1.5)^2 = 67.5 -> doesn't apply

f. y = 80*(0.2)^2 = 3.2 -> apply

g. y = 100*(2)^2 = 400 -> doesn't apply