Car “a” cost $43,000 and gets 48 miles per gallon, while car “b” cost $24,000 and gets 23 miles per gallon. assume you drive 12,000 miles per year and gas cost $2.42 per gallon. how many years will it take for car “a’s” better fuel economy to outweigh its higher initial cost?

Sheila wants to bake six muffins but the recipe is for 12 muffins . this means you only need half of the ingredients listed how much of the of each ingredient does she need? one cup and banana chips ,7 tablespoons oil , two eggs, 3/4 cups flour 1/4 cup walnuts show all you work and justify your answer using a baby toulmin.

If f(x) = x+8 and g(x) = 4x- 3, find (f+g)(x)

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)