Q..330 Every day a new puzzle is downlo... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 3: Q..330 (page 329)

Every day a new puzzle is downloaded into Ken鈥檚 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 variables.
b. Find $N (30)$ . Explain what this result means.

Short Answer

Expert verified

a. The independent variable is $t$ , which represents the number of days and the dependent variable is $N$ , which represents the number of downloaded puzzles.

b. The value of $N (30)$ is $73 .$ This means that after $30$ days the number of downloaded puzzles in Ken's account will be $73 .$

Step by step solution

Step 1. Given Information

The function $N (t) = 43 + t$ gives the number of downloaded puzzles in Ken's account after $t$ days.

Part (a) Step 1. Determining the dependent and independent variable

The number of downloaded puzzles is a function of the number of days. The number of downloaded puzzles, $N$ depends on the

number of days, $t$ . Therefore, the variable $N$ is the dependent variable and the variable $t$ is the independent variable.

Part(b) Step 1. Evaluating N(30).

To evaluate $N (30)$ , substitute $30$ for $t .$

$N (30) = 43 + 30 N (30) = 73$

Therefore, there will be $73$ downloaded puzzles in Ken's account after $30$ days.

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91影视

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. Determining the dependent and independent variable

Part(b) Step 1. Evaluating N(30).

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