To begin a bacteria study a petri dish had 2200 bacteria cells every hours since the number of cells has increased by 3.8% let t be the number of hours since the start of the study let y be the number of bacterial cells write the exponent to function showing the relationship between y&t

Therefore the required relationship is

Step-by-step explanation:

Given that, to begin a bacteria study a petri dish had 2200 bacteria cells every hours.

The growth of bacteria is in exponential.So we use the following formula

A= Total amount =y = the number of bacteria cell

P= initial value = 2000

r= rate of increase = 3.8%= 0.038

n = time = t

Putting the all values

Therefore the required relationship is

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

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