Assume two individuals, A and B, are traveling by car and initially are 400 miles apart on a highway. They travel toward each other, pass and then continue on. a. If A is traveling at 60 miles per hour, and B is traveling at 40 mph, write two functions, dA(t) and dB(t), that describe the distance (in miles) that A and B each has traveled over time t (in hours). b. Now construct a function for the distance DAB (t) between A and B at time t (in hours). Graph the function for 0 t 8 hours. c. At what time will A and B cross paths? At that point, how many miles has each traveled? d. What is the distance between them one hour before they meet? An hour after they meet? Interpret both values in context. (Hint: If they are traveling toward each other, the distance between them is considered positive. Once they have met and are traveling away from each other, the distance between them is considered negative.) e. Now construct an absolute value function that describes the (positive) distance between A and B at any point, and graph your result for 0 t 8 hours.
4/20/16 troit What did we learn……that is was a place that was once beautiful but now if completely destroyed. Suburbs • They all look the same • They are boring • Housewives would get drunk all day because suburbs were so boring, they had nothing else to do • Historically Americans had ill feels about cities reinforced by concentration of immigrants • Political interest realized that they could have control of suburb jurisdiction (tax and spending policies) • Racial segregation is an effective marketing strategy • In 1934 congress created FHA to ensure home loans by banks • In 1944 Veterans Administration makes loans to returning GIs. People are able to buy homes with little or no savings • The FHA and VA encourage contraction almost exclusively outside of the city • The use of suburbs allow developers to maximize profits and its easier than rehabbing existing neighborhoods • Along with a home, people were sold a “way of life”, i.e. status, charter, escape problems of the city • Developers were initially careful to only sell to people who added to profits, the affluent • First community builder Jesse Clyde Nichols wanted to challenge the grandeur of Europe, his property is targeted to upper middle class and wealthy (1910ish) • William Levitt (194050s) use mass building techniques, by 1950 they're building a house every 16 minutes, much like Henry Ford, Levitt ’s assembly line approach reduces costs by using prefab materials, and repetition by the workers, typical house is $6000 • With federal guarantees, an ex GI could buy a home for $56/month • Levitt had tight control — no fences, grass must remain cut, not clothes on a clothes line • No selling to or use by blacks …only for members of the Caucasian race, except for domestic servants • Nichols and Levitt show how developers have power to shave suburbs to their attitudes and tastes • Blacks were the most typically named restricted group, then Jews or people with tuberculosis • Government agencies, and interest groups reinforced racial segregation • The Supreme Court declared restrictive convents unenforceable in 1948, but developers and homeowner associations simply did not show the property to blacks • 1968 Hosing Act finally barred racial discrimination in sale and housing rental • However housing patterns were established by this point • Outside of cities, small developments began contracting services, like water, from the city, and the enclaves being to incorporate (usually thought some interests) • Suburbs protect business from taxes and regulations • State legislatures begin to make it easier for groups to create new towns and cities and incorporation is not just a privilege but a right • Zoning also is a tool to control land use, citizens can now control how certain types of land is … or is not used • Some lawsuits have challenged zoning under the 14th amendment and cities had to be careful to not discriminate against minorities • Today all race and ethnic groups have moved to the suburbs