The average amount of electricty consumed by a household in a day is strongly correlated to the average daily temperature for that day. This relationship is given by y=0.503x+3.31 where x
is the temperature in F and y
is the amount of electricity consumed in kilowatt-hours (kWh).

What does the y-intercept of this function represent?

What is the value of x in the equation 6(x + 1) – 5x = 8 + 2(x – 1)?

An initial investment of $100 is now valued at $150. the annual interest rate is 5%, compounded continuously. the equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested? use your calculator and round to the nearest whole number. years

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)