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3 months ago

Luis has saved $6. he doubles the amount he saves each week.does this represent an exponential function?complete:

Mathematics

1 answer:

lawyer [12.5K]3 months ago

8 0

Response:

This $6(2)^{n-1}$ is indicative of an exponential function, as his savings grow by a consistent factor of 2.

Detailed breakdown:

It is stated that

Luis initially saves $6 and doubles this amount every week.

This means that the savings for the following week would be 6×2 = 12.

Consequently, the savings for the third week would be 12×2 = 24.

The resulting sequence is 6, 12, 24, 48,.....

This can be expressed as 6×2⁰, 6×2¹, 6×2², 6×2³,.....

Thus, the exponential sequence is represented as $6(2)^{n-1}$ , where 'n' signifies a natural number.

Furthermore, the numbers 6, 12, 24, 48,..... reflect an increase by a factor of $\frac{12}{6}=\frac{24}{12}=....=2$ .

Thus, we conclude that

This $6(2)^{n-1}$ represents an exponential function, because his savings increase by a consistent factor of 2.

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2 months ago

Josh needs to cover a rectangular opening of 12 inches × 18 inches with plywood. how much will he need, in square feet, if he wa

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We understand that

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Step 1

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