The Watson Family is going on a road trip. The data in the table shows the relationship between speed and fuel economy for their car. The data can be modeled by the quadratic function y=-0.0075x^2 +0.575x + 11.5, where x represents the speed in miles per hour and y represents the fuel economy in miles per gallon (MPG). Which speed rounded to the nearest whole number will give them the best fuel economy? A. 40 mph

B. 23 mph

C. 32 mph

D. 38 mph

It keeps saying image is to big so I'll type
Table:
Speed (miles per hour)
30
40
50
Fuel economy (miles per gallon)
22.0
22.5
21.5

First, think of what you know. you know that the number t the end of the equation will need to be subtracted because it is the money he lost from buying the lawn mower. and your first two weeks have negative profit, so that tells you that c and d are wrong. now you can plug any of the weeks into a and b to see which one works. i'll start with plugging week 1 into a.this isn't right because it says your answer for week one should be -90.so now we need to try the same thing with b.this one got you the right answer, (sometimes if you only check with one of the weeks multiple will work so you need to check with more of the weeks, but it worked out fine here)this means that b is the correct answer.let me know if you need more clarification. i hope this : )

The answer would be 16