In the following exercises, solve. 330. Every day a new puzzle is downloaded into Ken’s account. Right now he has 43 puzzles in his account. The function N ( t ) = 43 + t represents the relation between the number of puzzles, N , and the time, t , measured in days. (a) Determine the independent and dependent variable. (b) Find N ( 30 ) . Explain what this result means.
In the following exercises, solve. 330. Every day a new puzzle is downloaded into Ken’s account. Right now he has 43 puzzles in his account. The function N ( t ) = 43 + t represents the relation between the number of puzzles, N , and the time, t , measured in days. (a) Determine the independent and dependent variable. (b) Find N ( 30 ) . Explain what this result means.
330. Every day a new puzzle is downloaded into Ken’s account. Right now he has 43 puzzles in his account. The function
N
(
t
)
=
43
+
t
represents the relation between the number of puzzles, N, and the time, t, measured in days.
(a) Determine the independent and dependent variable.
(b) Find
N
(
30
)
. Explain what this result means.
Isabel and her husband are each starting a saving plan. Isabel will initially set aside $75 and then add $50.85 every week to the savings. The amount A (in
dollars) saved this way is given by the function A = 75+50.85N, where N is the number of weeks she has been saving.
Her husband will not set an initial amount aside but will add $65.95 to the savings every week. The amount B (in dollars) saved using this plan is given by the
function B = 65.95N.
Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.
T = ]
Taylor is building a rectangular garden. Due to the space available, the area of the
A (in square feet), can be expressed by the function A
garden,
where W represents the width of the garden (in feet).
=
w(75 - w),
Based on this function, the width of the garden must be more than
A feet wide and less than
A feet wide.
College Algebra with Modeling & Visualization (5th Edition)
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