Given the following exponential function , identify whethe represe growth or decay, and determine the percentage increase or decrease. y=970(1.042)^x Answer Attempt 1 out of 2 boxed (Growth)square square % increase

## Step 1<br />The given function is \(y=970(1.042)^{x}\). This is an exponential function. In an exponential function, the base of the exponent (in this case, 1.042) determines whether the function represents growth or decay.<br /><br />## Step 2<br />If the base of the exponent is greater than 1, the function represents growth. If the base of the exponent is less than 1, the function represents decay.<br /><br />## Step 3<br />In this case, the base of the exponent is 1.042, which is greater than 1. Therefore, the function represents growth.<br /><br />## Step 4<br />The percentage increase or decrease is determined by the base of the exponent. If the base is greater than 1, it represents an increase. If the base is less than 1, it represents a decrease.<br /><br />## Step 5<br />In this case, the base is 1.042, which is greater than 1. Therefore, it represents an increase.<br /><br />## Step 6<br />The percentage increase is calculated by subtracting 1 from the base and multiplying by 100. So, the percentage increase is \((1.042 - 1) \times 100 = 4.2\%\).