The correct answer is d) M(t) = 20 times 5^t
To determine the function that describes the area the mold covers after t days, we can see that the mold is growing exponentially. The relationship between the time (days) and the area covered by the mold is described by the formula M(t) = 20 times 5^t. This is because the area covered is increasing by a factor of 5 each day (1*5 = 5, 5*5 = 25, 25*5 = 125, and so on). The initial area covered on day 1 is 20 mm^2, so the function is M(t) = 20 times 5^t.
Liz is conducting an experiment to see how fast mold grows on a slice of bread. This table shows how much area the mold covered over the course of a few days.
Time (days) Area (mm^2)
1 100
2 500
3 2,500
Which function describes the area the mold covers, in square millimeters, after t days?
a) M(t) = 5t +400
b) M(t) = 100 times 5^t
c) M(t) = 400t - 300
d) M(t) = 20 times 5^t
e) M(t) = 300 +5t
f) M(t) = 20 +5^t
1 answer