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Solnce55 [7]
3 years ago
7

A 30-gram sample of bacteria has some unknown disease that is killing the bacteria. The amount of bacteria is measured each day

and the results are shown in the table. Number of Days (d) Amount of Bacteria in Grams (A) 0 30 1 28.5 2 27.075 3 25.72 4 24.44 5 23.21 6 22.05 What is the decay factor of this data? a. Decay factor is 0.95 b. Decay factor is -1.5 c. Decay factor is 14.25 d. Decay factor is 0.05
Mathematics
1 answer:
Firdavs [7]3 years ago
4 0
For this case we have an equation of the form:
 y = A * (b) ^ t
 Where,
 A: initial amount
 b: decrease factor
 t: time
 Substituting values:
 y = 30 * (b) ^ t
 To calculate t we use a point in the table.
 We have:
 (t, y) = (1, 28.5)
 Substituting:
 28.5 = 30 * (b) ^ 1
 b = 28.5 / 30
 b = 0.95
 Answer:
 
a. Decay factor is 0.95
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Answer:

Part A)

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2) y=25

Part B)

1)  k=7

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Step-by-step explanation:

Part 1) x and y vary inversely and x=50 when y=5 find y when x=10 what is k?

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

step 1

<u>Find the value of k</u>

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y*x=k ------> 5*50=k -----> k=250

The equation is equal to

y*x=250  or y=250/x

step 2

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substitute the value of x in the equation and solve for y

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y=250/10=25

Part B) x and y vary directly and x=6 when y=42 find k what is y when x=12

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

step 1

<u>Find the value of k</u>

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substitute the values

y/x=k ------> 42/6=k -----> k=7

The equation is equal to

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step 2

<u>Find y when x=12</u>

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