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Given the following exponential function ,identify represents growth or decay,and determine the per increase or decrease. y=25(1.071)^x

Problemas

Given the following exponential function ,identify
represents growth or decay,and determine the per
increase or decrease.
y=25(1.071)^x

Given the following exponential function ,identify represents growth or decay,and determine the per increase or decrease. y=25(1.071)^x

Solución

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Damiánprofessionell · Tutor durante 6 años
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To determine whether the given exponential function represents growth or decay, we need to look at the base of the exponent, which is 1.071 in this case.<br /><br />If the base is greater than 1, the function represents growth. If the base is less than 1, the function represents decay.<br /><br />In this case, since 1.071 is greater than 1, the function represents growth.<br /><br />To determine the percentage increase or decrease, we can use the formula:<br /><br />Percentage increase or decrease = (Base - 1) * 100%<br /><br />Substituting the value of the base, we get:<br /><br />Percentage increase or decrease = (1.071 - 1) * 100% = 7.1%<br /><br />Therefore, the given exponential function represents growth with a percentage increase of 7.1%.
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