Arnob, Bella, Colin, Dante, and Erin are going to a baseball game. They have a total budget of $100.00 to spend. Each game ticket costs $17.50 and each drink costs $2.00. The inequality below relates x, the number of drinks the 5 friends could buy in all, with their ticket costs and budget. 5 (17.5) + 2 x less-than-or-equal-to 100

Which best describes the restrictions on the number of drinks they can buy?
They can buy only from 0 to 3 drinks, but no more.
They can buy only from 0 to 6 drinks, but no more.
They can buy only from 0 to 7 drinks, but no more.
They can buy only from 0 to 12 drinks, but no more.

See attached image for the graph of the function

Step-by-step explanation:

Notice that this is the product of a power function () times the trigonometric and periodic function cos(x). So the zeros (crossings of the x axis will be driven by the values at which they independently give zero. That is the roots of the power function (only x=0) and the many roots of the cos function: , and their nagetiva values.

Notice that the blue curve in the graph represents the original function f(x), with its appropriate zeros (crossings of the x-axis), while the orange trace is that of "-f(x)". Of course for both the zeroes will be the same, while the rest of the curves will be the reflection over the x-axis since one is the negative of the other.