Inicio
/
Matemáticas
/
Given the Following Exponential Function, Identify Whether Th Represents Growth or Decay,and Determine the Percentage Rat Increase or

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
Weryfikacja ekspertów
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**: \((1 - 0.042) \times 100 = 95.8\%\).