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Math Problems
Algebra 1
Write exponential functions: word problems
Sally purchased a laptop for `$800` and has to pay a service fee of `$20` for each day until it is delivered. Write a linear function to represent the total cost,
h
(
x
)
h(x)
h
(
x
)
, after
x
x
x
days.
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Bob rented a car for a flat fee of `$150` and an additional `$10` per day. Write a linear function that represents the total cost,
f
(
x
)
f(x)
f
(
x
)
, after
x
x
x
days.
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Raymond works for a pharmaceutical company that is testing the effectiveness of a new medication. He gave one of the study participants
400
400
400
milligrams of the medication, and he knows the amount remaining in the participant's body will decrease by a factor of
1
/
3
1/3
1/3
each hour.
\newline
Write an exponential equation in the form
y
=
a
(
b
)
x
y = a(b)^x
y
=
a
(
b
)
x
that can model the amount of medication,
y
y
y
, remaining in the participant's body after
x
x
x
hours.
\newline
Use whole numbers, decimals, or simplified fractions for the values of
a
a
a
and
b
b
b
.
\newline
y
=
y =
y
=
______
\newline
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