Question

For Exercises $13$and $14$, use the following information. On January $1,1999,$the euro became legal tender in $11$participating countries in Europe. Based on the exchange rate on March $22,2001,$the linear function $d\left(x\right)=0.8881x$could be used to convert $x$euros to U.S. dollars.

On that date, what was the value in U.S. dollars of $200$euros?

Short answer

The value of $200$ euros is $177.62$ U.S. dollars.

Step-by-step solution

– Definition of linear function.

The graph of linear equation is always a straight line. The slope intercept form of a linear equation is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

– Given information.

The given function is used to convert x euros to U.S. dollars.

$d\left(x\right)=0.8881x$

– Find the required value.

Substitute $x=200$in the above function.

$\begin{array}{c}d\left(200\right)=0.8881\left(200\right)\\ =177.62\end{array}$

Thus, the value of 200 euros is $177.62$ U.S. dollars.