Question

Please help...its for Delta math. will mark brainliest and I will be ur friend♥​

Answer 1

Answer:

The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.

Step-by-step explanation:

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Answer 2

The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.

Step-by-step explanation:

Step 1:

To determine if the function represents growth or decay, we substitute values to x.

If the values increase with an increase of x, it represents growth.

If the values decrease with an increase of x, it represents decay.

Step 2:

If $x= 10,$ $y = 1,300 (\frac{1}{2})^{\frac{10}{69} } = 1,300 (0.9044) = 1,175.72.$

If $x=11,$$y = 1,300 (\frac{1}{2})^{\frac{11}{69} } = 1,300 (0.8953) = 1,163.89.$

So as x increases the value of y decreases, so it represents decay.

Step 3:

The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.

The percentage rate of change $= \frac{y(x=11) - y(x=10)}{y(x=10)}.$

Substituting the values, we get

The percentage rate of change $=\frac{1,175.72-1,163.89}{1,175.72}(100) = 1.00619\%$.

As the values of y decrease with an increase in x, it is the percent decrease per unit.