Problemas
Given the following exponential function, identify whether th represents growth or decay,and determine the percentage rat increase or decrease. y=4300(0.042)^x Answer Attempt 1 out of 2 square square % increase
Roztwór
Karina
professionell · Tutor durante 6 años
4.1
(221 Votos)
Respuesta
The function represents decay, with a percentage decrease of 95.8%.
Explicación
## Step 1The given function is \(y=4300(0.042)^{x}\). This is an exponential function, which is generally represented in the form
, where
is the initial amount,
is the growth factor, and
is the time.## Step 2In this function, the base of the exponent,
, is 0.042. Since this value is less than 1, it indicates that the function represents decay, not growth.## Step 3To find the percentage rate of decrease, we subtract the base from 1 and multiply by 100. This gives us the percentage decrease.### **Formula**: The formula to calculate the percentage decrease is \((1 - b) \times 100\).## Step 4Substitute the value of
into the formula.### **Calculation**: \((1 - 0.042) \times 100 = 95.8\%\).