Mathematics: Mrs. Castro left her parents house in the province and drove home. After driving for 3 hours, she was 90 km from home, and after 5 hours, she was 25 km from home. Assuming that the distance from home and the number of hours driving form a linear relationship, how long did it take Mrs, Castro to drive from her parents house to her home? How far was Mrs, Castro from home after driving 6 hours? How long had Mrs. Castro been driving when she was 50 km from home?

76.8 step-by-step explanation: you are finding the slope of a line intersecting the given curve at x=11 and x=15.that is you are computing: [tex]rac{f(15)-f(11)}{15-11}[/tex][tex]rac{f(15)-f(11)}{4}[/tex]so now we must compute f(15) and f(11).f(15) means replace x in [tex]0.01(2)^x[/tex] with 15.[tex]0.01(2)^{15}=327.68[/tex]f(11) means replace x in [tex]0.01(2)^x[/tex] with 11.[tex]0.01(2)^{11}=20.48[/tex]back to our formula: [tex]rac{f(15)-f(11)}{15-11}[/tex][tex]rac{f(15)-f(11)}{4}[/tex][tex]rac{327.68-20.48}{4}[/tex]putting...