QuestionPredict diamond production using $f(x)=-3.09 x+148.37$ for 2026, where $x$ is years after 2017. Result: \$ \square billion.

Studdy Solution

STEP 1

Assumptions1. The function $f(x)=-3.09 x+148.37$ is used to predict diamond production. . In this function, $x$ is the number of years after2017.
3. $f(x)$ is the value (in billions of dollars) of the year's diamond production.

STEP 2

First, we need to find the value of $x$ for the year2026. We can do this by subtracting the base year (2017) from the year we are interested in (2026).
$x =2026 -2017$

STEP 3

Calculate the value of $x$ .
$x =2026 -2017 =9$

STEP 4

Now that we have the value of $x$ , we can substitute it into the function $f(x)$ to find the predicted diamond production in2026.
$f(x) = -3.09 x +148.37$

STEP 5

Substitute $x =9$ into the function.
$f(9) = -3.09 \times9 +148.37$

STEP 6

Calculate the value of $f(9)$ .
$f(9) = -3.09 \times9 +148.37 =120.48$ The diamond production in2026 is predicted to be $120.48$ billion.

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QuestionPredict diamond production using $f(x)=-3.09 x+148.37$ for 2026, where $x$ is years after 2017. Result: \$ \square billion.

Studdy Solution

STEP 1

Assumptions1. The function $f(x)=-3.09 x+148.37$ is used to predict diamond production. . In this function, $x$ is the number of years after2017.
3. $f(x)$ is the value (in billions of dollars) of the year's diamond production.

STEP 2

First, we need to find the value of $x$ for the year2026. We can do this by subtracting the base year (2017) from the year we are interested in (2026).
$x =2026 -2017$

STEP 3

Calculate the value of $x$ .
$x =2026 -2017 =9$

STEP 4

Now that we have the value of $x$ , we can substitute it into the function $f(x)$ to find the predicted diamond production in2026.
$f(x) = -3.09 x +148.37$

STEP 5

Substitute $x =9$ into the function.
$f(9) = -3.09 \times9 +148.37$

STEP 6

Calculate the value of $f(9)$ .
$f(9) = -3.09 \times9 +148.37 =120.48$ The diamond production in2026 is predicted to be $120.48$ billion.

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QuestionPredict diamond production using f(x)=−3.09x+148.37f(x)=-3.09 x+148.37f(x)=−3.09x+148.37 for 2026, where xxx is years after 2017. Result: \$ \square billion.

Studdy Solution

STEP 1

Assumptions1. The function f(x)=−3.09x+148.37f(x)=-3.09 x+148.37f(x)=−3.09x+148.37 is used to predict diamond production. . In this function, xxx is the number of years after2017.3. f(x)f(x)f(x) is the value (in billions of dollars) of the year's diamond production.

STEP 2

First, we need to find the value of xxx for the year2026. We can do this by subtracting the base year (2017) from the year we are interested in (2026).x=2026−2017x =2026 -2017x=2026−2017

STEP 3

Calculate the value of xxx.x=2026−2017=9x =2026 -2017 =9x=2026−2017=9

STEP 4

Now that we have the value of xxx, we can substitute it into the function f(x)f(x)f(x) to find the predicted diamond production in2026.f(x)=−3.09x+148.37f(x) = -3.09 x +148.37f(x)=−3.09x+148.37

STEP 5

Substitute x=9x =9x=9 into the function.f(9)=−3.09×9+148.37f(9) = -3.09 \times9 +148.37f(9)=−3.09×9+148.37

STEP 6

Calculate the value of f(9)f(9)f(9).f(9)=−3.09×9+148.37=120.48f(9) = -3.09 \times9 +148.37 =120.48f(9)=−3.09×9+148.37=120.48The diamond production in2026 is predicted to be 120.48120.48120.48 billion.

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QuestionPredict diamond production using $f(x)=-3.09 x+148.37$ for 2026, where $x$ is years after 2017. Result: \$ \square billion.

Assumptions1. The function $f(x)=-3.09 x+148.37$ is used to predict diamond production. . In this function, $x$ is the number of years after2017.
3. $f(x)$ is the value (in billions of dollars) of the year's diamond production.

First, we need to find the value of $x$ for the year2026. We can do this by subtracting the base year (2017) from the year we are interested in (2026).
$x =2026 -2017$

Calculate the value of $x$ .
$x =2026 -2017 =9$

Now that we have the value of $x$ , we can substitute it into the function $f(x)$ to find the predicted diamond production in2026.
$f(x) = -3.09 x +148.37$

Substitute $x =9$ into the function.
$f(9) = -3.09 \times9 +148.37$

Calculate the value of $f(9)$ .
$f(9) = -3.09 \times9 +148.37 =120.48$ The diamond production in2026 is predicted to be $120.48$ billion.