chocolates have nuts and then subtract that from 100% to determine what percent do not have nuts. Dividing
9 by 45 gives the percent that have nuts, which is 20%. Subtracting that number from 100% gives the correct
answer: 80% of the chocolates do not have nuts.
At the start of the mowing season, Chuck collects a one-time maintenance fee of from his customers. He charges the Fosters for each cut. The total amount collected from the Fosters in dollars for the season is , where is the number of times Chuck mows the Fosters' lawn.
a. Find the inverse function.
b. What do and represent in the context of the inverse function?
c. How many times did Chuck mow the Fosters' lawn if he collected a total of from them?
An engineer is designing headlight units for automobiles. The unit has a parabolic surface with a diameter of inches and a depth of inches. The situation is illustrated in the figure, where a coordinate system has been superimposed.
a. Use the point to write an equation in the form for the parabola used to design the headlight.
b. The light source should be placed at the focus . The value of is given by the equation . Where should the light source be placed? Describe this placement relative to the vertex.