The exponential function is given by y = 160(1.06)ˣ
<h3>
Exponential function</h3>
An exponential function is in the form:
y = abˣ
where a is the initial value of y, b is the multiplier, y, x are variables.
Let y represent the amount of bacteria after x hours.
Given an initial 160 bacteria, hence a = 160.
Also b = 100% + 6% = 106% = 1.06
The exponential function is given by y = 160(1.06)ˣ
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Six tenths (6/10) in decimal form is 0.6
The rate of change in temperature is −17°F/min
<h3>Rate of change of a function</h3>
The formula for calculating the rate of change of a function is expressed as:
Rate of change = rise/run
This is also known as the slope of the function
Given the following parameters
Temperature = −25.5°F
Cooling time = 1.5mins
Determine the rate of change
Rate = −25.5°F/1.5min
Rate = −17°F/min
Hence the rate of change in temperature is −17°F/min
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Answer:
a
Step-by-step explanation: