Erm, i don't think so but i hope this helps you :)
Answer:
Step-by-step explanation:
20 : 440 = 60:x
Product of means = 440*60
Product of extremes = 20*x
20*x = 440*60
x = 440*60/20 = 440*3
x = 1320 miles
Yes choice B) 1/5 is correct. You are using the correct formula and steps. Nice work.
Here's another way to look at it:
When you visually plot the inverse, you reflect everything over the line y = x. What happens is that every (x,y) point swaps coordinates. So if (1,2) is on g(x), then (2,1) is on the inverse, and vice versa. Swapping the x and y values will swap the nature of the tangent slope.
For any tangent on g(x), its slope is m = (dy)/(dx)
The corresponding slope on the inverse will be n = (dx)/(dy). All that's happened here is that the numerator and denominator flipped. Again because x and y have swapped places. If you wanted, you can picture the xy axis where the vertical axis is the x axis and the horizontal axis is the y axis. That's effectively what is going on here.
So before you found that g'(1) = 5 meaning that m = 5/1 on g(x) at the point (1,2)
So n = 1/m = 1/5 for the point (2,1) on the inverse g function.
The answer is 44 because the equation is 352 divided 8. And 8 goes into 352 44 times. If you want to check the work you can also multiply 44 and 8, and it should be 352.
So the answer is 44
Hope this Helps:)
