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Laabri

HW Exponential Growth & Decay

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Last updated about 3 years ago
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1.

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2.

Round to the nearest hundredth (2 decimal places). Use mg as your units.

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3.

Round to the nearest hundredth (cent - 2 decimal places). Use $

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4.

A snowman weighs 108 lbs, but is losing 15% of its weight each day as it melts.

Does this represent growth or decay?

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5.

A snowman weighs 108 lbs, but is losing 15% of its weight each day.

What is the growth or decay rate for this snowman?

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6.

A snowman weighs 108 lbs, but is losing 15% of its weight each day.

What is the growth or decay factor for this snowman?

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7.

A snowman weighs 108 lbs, but is losing 15% of its weight each day.

Write a function to represent the weight, W, of the snowman as a function of t in days.

Write your answer as W(t)=

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8.

A snowman weighs 108 lbs, but is losing 15% of its weight each day.

How many pounds does the snowman weigh after 4 days?

Round to the nearest tenth.

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9.

The median home price in Carlsbad in 2022 was $997,000. In 2021 it was $914,679.

What is the growth rate that homes are increasing by?

Round your answer to the nearest whole percent.

Hint: divide

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10.

The median home price in Carlsbad in 2022 was $997,000. In 2021 it was $914,679.

Estimate the median home price in 2026.

Use the growth rate you found in the previous problem.

Round to the nearest whole dollar.

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11.

$

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12.

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13.

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14.

Round to the nearest cent (2 decimal places).

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15.

Categorize each as exponential growth or exponential decay.

  • f(t)=32(1.23)^t

  • f(t)=9(1-.80)^t

  • A $450,000 house now costs $493,000.

  • A $85,000 Mustang depreciates over the course of 12 years.

  • f(t)=100(1+.02)^t

  • f(t)=5,000(0.89)^t

  • Exponential Growth

  • Exponential Decay

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16.

Review from last class!

What is the equation of the horizontal asymptote?

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17.

Select the transformations this graph has from the parent function y=(1/2)^x.

Then click 'show your work' and graph it!

You can also graph it on graph paper & upload a picture.

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18.

What is the y-intercept?