Exercise 37 Page 556

We will begin by looking at the given function for the velocity of a drag race car that weights $1600$ kilograms. To write the function on a calculator, we need to rewrite it in terms of $X$ and $Y.$ To do so, we will substitute $Y$ for $v$ and $X$ for $p.$ To draw a graph on a calculator, we first press the $\boxed{\text{Y}=}$ button and type the function in one of the rows. Having written the function, we can push $\boxed{\text{GRAPH}}$ to draw it. Let's plot the function for the velocity of a drag race car that weights $1600$ kilograms.

To be able to see the graph, we will resize the window by pushing $\boxed{\text{WINDOW}}$ and changing the settings.

To estimate the power of a drag car with a velocity of $220$ kilometers per hour, we should graph the horizontal line $v=220$ and find the point of intersection with the function for the velocity of a drag car. Let's plot $v=220,$ remember that we should write it as $Y=220.$

To find the point of intersection, push $\boxed{2nd}$ and $\boxed{CALC}$ and choose the fifth option, intersect. Choose the first and second curve, and pick a best guess for the point of intersection.

Therefore, the power of a $1600\text{-kilogram}$ drag race car that reaches a velocity of $220$ kilometers per hour is about $790$ horsepower.