Hailey wants to hire someone to paint her house. She researched several independent painters who provided information about the average amount of time it takes them to paint a certain number of square feet of wall space. The three painters with the top ratings are listed in the table below, along with the information they provided. Name Area Painted
(square feet) Time
(hours:minutes)
Richard 288 45
Gerard 825 2:12
Matthew 992 2:35

Part A: Calculate the unit rate for each painter.

Part B: Compare each pair of painters (Richard with Gerard; Gerard with Matthew; Matthew with Richard), and state whether their rates are in a proportional relationship or not (and why) using their respective unit rates as evidence.

Given ab and cb are tangents of p, and m =10°. what is the measure of abp?

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.

Write the slope intercept equation for line ab.