Problem #28 ERROR ANALYSIS: You purchase a car in 2020 for $25,000. The value of the car decreases by 14% annually. Describe the error in finding the value of the car in 2025.

The decay rate is 1 - 0.14, not 1 + 0.14.

The decay rate is 1 - 14, not 1 + 14.

Problem #28 ERROR ANALYSIS: You purchase a car in 2020 for $25,000. The value of the car decreases by 14% annually. Describe and correct the error in finding the value of the car in 2025. What is the value of the car in 2025?

The value of the car in 2025 is about $12,000.

The value of the car in 2025 is about $15,000.

The value of the car in 2025 is about $17,000.

The value of the car in 2025 is about $10,000.

Problem #32 Determine whether the table represents an exponential growth function , an exponential decay function , or neither . Explain.

As x increases by 1, y is multiplied by 3.

As x increases by 2, y is multiplied by $$\frac{1}{6}.$$

As x increases by 1, y is divided by 2.

Problem #34 Determine whether the table represents an exponential growth function , an exponential decay function , or neither . Explain.

As x increases by 2, y is multiplied by $$\frac{1}{6}.$$

As x decreases by 2, y is multiplied by $$\frac{1}{6}.$$

As x increases by 1, y is multiplied by 3.

Algebra 1 - Ch. 6.4 Exponential Growth & Decay Pg. 327-328

Authored by Mary Ann Gargac

Mathematics

9th - 12th Grade

CCSS covered

Used 10+ times

Algebra 1 - Ch. 6.4 Exponential Growth & Decay Pg. 327-328

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DRAG AND DROP QUESTION

1 min • 1 pt

Problem #6
Identify the initial amount a and the rate of growth r (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth.
$h\left(t\right)=175\left(1.028\right)^t$
a = (a) , r = _%, evaluate about _

175

165

135

157

Tags

CCSS.HSF-IF.C.8B

DRAG AND DROP QUESTION

1 min • 1 pt

Problem #6
Identify the initial amount a and the rate of growth r (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth.
$h\left(t\right)=175\left(1.028\right)^t$
a = _, r = (a) %, evaluate about _

2.6

2.8

8.2

Tags

CCSS.HSF-IF.C.8B

DRAG AND DROP QUESTION

1 min • 1 pt

Problem #6
Identify the initial amount a and the rate of growth r (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth.
$h\left(t\right)=175\left(1.028\right)^t$
a = _, r = _%, evaluate about (a)

20.09

20.9

200.9

100.9

Tags

CCSS.HSF-IF.C.8B

DROPDOWN QUESTION

1 min • 1 pt

Problem #8
Identify the initial amount a and the rate of growth r (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth.
$p\left(t\right)=1.8^t$
a = (a) , r= _%, Evaluate about __

Tags

CCSS.HSF-IF.C.8B

DROPDOWN QUESTION

1 min • 1 pt

Problem #8
Identify the initial amount a and the rate of growth r (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth.
$p\left(t\right)=1.8^t$
a = _ , r= (a) %, Evaluate about __

Tags

CCSS.HSF-IF.C.8B

DROPDOWN QUESTION

1 min • 1 pt

Problem #8
Identify the initial amount a and the rate of growth r (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth.
$p\left(t\right)=1.8^t$
a = _ , r= _%, Evaluate about (a)

18.92

18.9

Tags

CCSS.HSF-IF.C.8B

DROPDOWN QUESTION

1 min • 1 pt

Problem #10
Write a function that represents the situation.
Your starting annual salary of $35,000 increases by 4% each year.
(a)

$y=35,000\left(1.4\right)^t$

$y=35,000\left(0.04\right)^t$

$y=35,000\left(1.04\right)^t$

$y=35,000\left(4\right)^t$

Tags

CCSS.HSF.LE.A.2

DROPDOWN QUESTION

1 min • 1 pt

Problem #12
Write a function that represents the situation.
An item costs $4.50, and its price increases by 3.5% each year.
(a)

$y=4.50\left(1.035\right)^t$

$y=4.50\left(1.35\right)^t$

$y=4.50\left(.035\right)^t$

$y=4.50\left(13.5\right)^t$

Tags

CCSS.HSF.LE.A.2

MATH RESPONSE QUESTION

2 mins • 1 pt

Problem #14 a
MODELING REAL LIFE: A young channel catfish weighs about 0.1 pound. During the next 8 weeks, its weight increases by about 23% each week.
a. Write an exponential growth function that represents the weight of the catfish after t weeks during the 8-week period.

$y=0.1\left(1.23\right)^t$

Mathematical Equivalence

OFF

Tags

CCSS.HSF.LE.A.2

10.

MATH RESPONSE QUESTION

2 mins • 1 pt

Problem #14 b
MODELING REAL LIFE: A young channel catfish weighs about 0.1 pound. During the next 8 weeks, its weight increases by about 23% each week.
b. about how much does the catfish weigh after 4 weeks.
about _____ lb.

$0.229$

Mathematical Equivalence

Tags

CCSS.HSF.BF.A.2

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Algebra 1 - Ch. 6.4 Exponential Growth & Decay Pg. 327-328

Problem #8Identify the initial amount a and the rate of growth r (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth. p(t)=1.8tp\left(t\right)=1.8^tp(t)=1.8t a = ​ (a) , r= _____%, Evaluate about ______

Problem #8Identify the initial amount a and the rate of growth r (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth. p(t)=1.8tp\left(t\right)=1.8^tp(t)=1.8t a = _____​ , r= ​ (a) %, Evaluate about ______

Problem #8Identify the initial amount a and the rate of growth r (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth. p(t)=1.8tp\left(t\right)=1.8^tp(t)=1.8t a = _____​ , r= ​_____%, Evaluate about​ (a)

Problem #10Write a function that represents the situation.Your starting annual salary of $35,000 increases by 4% each year. (a)

Problem #12Write a function that represents the situation.An item costs $4.50, and its price increases by 3.5% each year. (a)

Problem #14 a MODELING REAL LIFE: A young channel catfish weighs about 0.1 pound. During the next 8 weeks, its weight increases by about 23% each week. a. Write an exponential growth function that represents the weight of the catfish after t weeks during the 8-week period.

Problem #14 bMODELING REAL LIFE: A young channel catfish weighs about 0.1 pound. During the next 8 weeks, its weight increases by about 23% each week. b. about how much does the catfish weigh after 4 weeks. about _____ lb.

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Problem #8
Identify the initial amount a and the rate of growth r (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth.
$p\left(t\right)=1.8^t$
a = (a) , r= _%, Evaluate about __

Problem #8
Identify the initial amount a and the rate of growth r (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth.
$p\left(t\right)=1.8^t$
a = _ , r= (a) %, Evaluate about __

Problem #8
Identify the initial amount a and the rate of growth r (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth.
$p\left(t\right)=1.8^t$
a = _ , r= _%, Evaluate about (a)

Problem #10
Write a function that represents the situation.
Your starting annual salary of $35,000 increases by 4% each year.
(a)

Problem #12
Write a function that represents the situation.
An item costs $4.50, and its price increases by 3.5% each year.
(a)

Problem #14 a
MODELING REAL LIFE: A young channel catfish weighs about 0.1 pound. During the next 8 weeks, its weight increases by about 23% each week.
a. Write an exponential growth function that represents the weight of the catfish after t weeks during the 8-week period.

Problem #14 b
MODELING REAL LIFE: A young channel catfish weighs about 0.1 pound. During the next 8 weeks, its weight increases by about 23% each week.
b. about how much does the catfish weigh after 4 weeks.
about _____ lb.