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Given the following exponential function , identify u represents growth or decay,and determine the perc increase or decrease. y=25(1.071)^x Answer Attempt 1 out of 2

Problemas

Given the following exponential function , identify u
represents growth or decay,and determine the perc
increase or decrease.
y=25(1.071)^x
Answer Attempt 1 out of 2

Given the following exponential function , identify u represents growth or decay,and determine the perc increase or decrease. y=25(1.071)^x Answer Attempt 1 out of 2

Solución

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Gustavoélite · Tutor durante 8 años
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The function represents growth, and the percentage increase is 107.1%.

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## Step 1<br />The given function is \(y=25(1.071)^{x}\). This is an exponential function, which is generally represented in the form \(y=ab^{x}\), where \(a\) is the initial amount, \(b\) is the growth factor, and \(x\) is the time.<br /><br />## Step 2<br />In this function, the base of the exponent, which is 1.071, is greater than 1. This indicates that the function represents growth.<br /><br />## Step 3<br />The base of the exponent, 1.071, can also be interpreted as a percentage increase. To convert a decimal to a percentage, we multiply by 100. Therefore, 1.071 is equivalent to a 107.1% increase.
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