Question 38003
You are given 2 data points, like two x and y's...you find the equation of a line the same way...
Here our data points are (45, 1300) and (50, 1365).  First find slope...
m = (1365 - 1300) / (50 - 45)
m = 65 / 5
m = 13
Now use the point slope form to get the equation...
y - 1300 = 13(x - 45)
y - 1300 = 13x - 585
y = 13x + 715
Now if her weight was 53.2, plug that in for x and calculate y...
y = 13(53.2) + 715 =
y = 1406.6 calories