QuestionPostage rates changed from 2006 to 2016.
(a) Let $f(x)$ be the cost of a first-class stamp in year $x$ . Find $f(2010)$ and $f(2015)$ given $f(2010)=\$0.36$ and $f(2015)=\$0.66$ .
(b) Why isn’t the graph of $f$ accurate? What changes are needed for accuracy?

Studdy Solution

STEP 1

Assumptions1. The function $f(x)$ represents the cost of a first-class stamp in year $x$ . . The cost of a first-class stamp in the year2010 is \$0.36 and in the year2015 is \$0.66.

STEP 2

The function $f(x)$ is defined as the cost of a first-class stamp in year $x$ . Therefore, to find $f(2010)$ , we simply look at the cost of a first-class stamp in the year2010.

STEP 3

Plug in the given value for the cost of a first-class stamp in the year2010 into the function $f(x)$ .
$f(2010) = \$0.36$

STEP 4

Similarly, to find $f(201)$ , we look at the cost of a first-class stamp in the year201.

STEP 5

Plug in the given value for the cost of a first-class stamp in the year2015 into the function $f(x)$ .
$f(2015) = \$0.66$

STEP 6

The graph in the figure is not the graph of the function $f$ because it does not accurately represent the cost of a first-class stamp in each year from2006 to2016.

STEP 7

To make the figure an accurate graph of the function $f$ , the y-values (cost of a first-class stamp) for each x-value (year) must match the values given by the function $f(x)$ .
So, the correct answers areA. $f(2010)=\$0.36$ B. The graph is not accurate because it does not represent the correct cost of a first-class stamp for each year. To correct it, the y-values must be adjusted to match the values given by the function $f(x)$ .

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QuestionPostage rates changed from 2006 to 2016.
(a) Let $f(x)$ be the cost of a first-class stamp in year $x$ . Find $f(2010)$ and $f(2015)$ given $f(2010)=\$0.36$ and $f(2015)=\$0.66$ .
(b) Why isn’t the graph of $f$ accurate? What changes are needed for accuracy?

Studdy Solution

STEP 1

Assumptions1. The function $f(x)$ represents the cost of a first-class stamp in year $x$ . . The cost of a first-class stamp in the year2010 is \$0.36 and in the year2015 is \$0.66.

STEP 2

The function $f(x)$ is defined as the cost of a first-class stamp in year $x$ . Therefore, to find $f(2010)$ , we simply look at the cost of a first-class stamp in the year2010.

STEP 3

Plug in the given value for the cost of a first-class stamp in the year2010 into the function $f(x)$ .
$f(2010) = \$0.36$

STEP 4

Similarly, to find $f(201)$ , we look at the cost of a first-class stamp in the year201.

STEP 5

Plug in the given value for the cost of a first-class stamp in the year2015 into the function $f(x)$ .
$f(2015) = \$0.66$

STEP 6

The graph in the figure is not the graph of the function $f$ because it does not accurately represent the cost of a first-class stamp in each year from2006 to2016.

STEP 7

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Studdy Solution

STEP 1

Assumptions1. The function f(x)f(x)f(x) represents the cost of a first-class stamp in year xxx. . The cost of a first-class stamp in the year2010 is \$0.36 and in the year2015 is \$0.66.

STEP 2

The function f(x)f(x)f(x) is defined as the cost of a first-class stamp in year xxx. Therefore, to find f(2010)f(2010)f(2010), we simply look at the cost of a first-class stamp in the year2010.

STEP 3

Plug in the given value for the cost of a first-class stamp in the year2010 into the function f(x)f(x)f(x).f(2010)=$0.36f(2010) = \$0.36f(2010)=$0.36

STEP 4

Similarly, to find f(201)f(201)f(201), we look at the cost of a first-class stamp in the year201.

STEP 5

Plug in the given value for the cost of a first-class stamp in the year2015 into the function f(x)f(x)f(x).f(2015)=$0.66f(2015) = \$0.66f(2015)=$0.66

STEP 6

The graph in the figure is not the graph of the function fff because it does not accurately represent the cost of a first-class stamp in each year from2006 to2016.

STEP 7

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions1. The function $f(x)$ represents the cost of a first-class stamp in year $x$ . . The cost of a first-class stamp in the year2010 is \$0.36 and in the year2015 is \$0.66.

The function $f(x)$ is defined as the cost of a first-class stamp in year $x$ . Therefore, to find $f(2010)$ , we simply look at the cost of a first-class stamp in the year2010.

Plug in the given value for the cost of a first-class stamp in the year2010 into the function $f(x)$ .
$f(2010) = \$0.36$

Similarly, to find $f(201)$ , we look at the cost of a first-class stamp in the year201.

Plug in the given value for the cost of a first-class stamp in the year2015 into the function $f(x)$ .
$f(2015) = \$0.66$

The graph in the figure is not the graph of the function $f$ because it does not accurately represent the cost of a first-class stamp in each year from2006 to2016.