All changes saved 5. You are purchasing a new car. In order to determine which car will provide maximum savings, you've researched miles per gallon (mpg) ratings of cars. If gas is $3.45 per gallon and you drive an average of 18,000 miles per year, the following rational equation is given: g(x) = 3.45(- 18.000 old miles per gallon 3.45( 18,000 new miles per gallon g(x) calculates the dollar savings for one year for driving a car that gets a higher miles per gallon rate. a. In the formula what do you find when you divide 18,000 old miles per gallon ? b. The car you drive now gets 18 mpg; the car you are looking to buy will get 27 mpg. How many dollars will you save in the first year by switching to the 27 mpg car? c. How much would you save after 5 years? d. The other car you are considering buying will get 33 mpg, but it costs $3000 more than the 27 mpg car. Would the additional savings in gas be worth the extra $3000 over a 5 year loan? e. What gas mileage would your new car have to be if you saved $800 per year over your 18 mpg current car? B U Font Family - AA- AD PREVIOUS 5 of 7 NEXT SAVE & EAll changes saved -3 -1 Knowing what you now know about the way polynomial functions interact with their factors, zeros, and graphs, explain how to do the following: a. Find the zeros of this function. b. Use these zeros to write a factored polynomial (in this format (x + a)(x + b). . .) c. Multiply the factors together to create a polynomial. Graph your polynomial using a graphing app* or calculator. Does your graph match graph the image above? d. Explain how you know your factors, your polynomial, the graph above, and your graph all describe the same function. *fooplot.com is my favorite graphing app online. PREVIOUS 6 of 7 NEXT SAVE & EAll changes saved 7. In the summer time your friend wants to have a snow cone stand at a local grocery store parking lot. You want to make sure he actually makes money. The grocery store charges $300 per month. All products are calculated to be 25 cents per customer. Your plans are to sell each cone for $1.25. PREVIOUS 7 of 7 SAVE & EXIT SUBMIT ALL ANSWERSAll changes saved a. Write a mathematical expression representing the cost of operation for a month. b. Write a mathematical expression representing sales. 0. Create an equation that will represent overall prot of the operation for a month. G) lilia 7 of 7 SAVE & EXIT SUBMIT ALL ANSWERS All changes saved d. Simplify the equation into slope intercept form and standard torm. What is the slope and explain its meaning in the context of selling snow cones? What is the intercept and what is its meaning? e. Describe the method of graphing the slope intercept form and also the standard form of the equation. f. What is the domain and range of the equation? Is the relation a C9 Illa!\" 7 of 7 SAVE 8: EXIT SUBMIT ALL ANSWERS f. What is the domain and range of the equation? Is the relation a All changes saved function, why? g. How many snow cones do you need to sell to break even in the first month? h. How much is the profit if you sell 425, 550 or 700 snow cones in the first month of business? PREVIOUS 7 of 7 SAVE & EXIT SUBMIT ALL ANSWERS