The number of bacteria in a dish tripled every 15 minutes. If the dish initially has 100 bacteria, what function models the number of bacteria, B(T) after t minutes

B(t) = 100 + 0.2t

Step-by-step explanation:

Given

Initial = 100

Additional = 3 every 15 minutes

Required

Determine function B(t)

First, we need to determine the increment at t minutes

If

15 minutes = 3 bacteria

t minutes = x

Cross Multiply

x * 15 = 3 * t

15x = 3t

Divide both sides by 15

x = (3/15)t

x = ⅕t

x = 0.2t

So, function B(t) can be written as:

B(t) = Initial + x

Substitute values for initial at x

B(t) = 100 + 0.2t

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

step-by-step explanation:

the shape,the size and the distance