If your answer was d) 3.6 , then you are correct!
slope = (y2-y1)/(x2-x1)
= (70-52)/(8-1)
= 18/7
=2.6
point slope form
y-y1 = m(x-x1)
y-52 = 2.6(x-1)
distribute
y-52 = 2.6x-2.6
add 52 to each side
y = 2.6x+49.4
y = 2.6x +49
the initial temperature is 49.4 or about 49
and it increases about 2.6 degrees each week
Answer:
It is false that, if the national economy shrank at an annual rate of 9% per year for three consecutive years then the economy shrank by 27% over the 3-year period, because this percentage does not follow a linear path, but on the contrary, it is calculated exponentially: 9% of each year is calculated on the rest that remained after discounting 9% the previous year.
Thus, if the national economy has a value of 100, after three years it will not have a value of 79, but a value of 75.35, as it arises from the following calculation:
100 x 0.91 ^ 3 = X
100 x 0.753571 = X
75.35 = X