Part A: In (0,4) and (1,8), as x increases from 0 to 1, y increases from 4 to 8. The slope of the line connecting these 2 pts. is (8-4) / (1-0), or 4. Now do the same thing for the 2 pts (1,8) and (2, 10). You will find that the slope in the 2nd case is different. Thus, the 3 given pts do NOT lie on a straight line. Function is non-linear.
Part B: an example of a non-linear function would be y = 2x^2 - 5. You can tell immediately from that exponent, 2, that this function is non linear.
An ex. of a linear function would include x to the 1st power only: y = 3x - 7.
If the two given six-sided number cubes contains the typical numbers starting from 1 to 6, the sum of the numbers will most likely be in the range of 6-9. Thus, for this item, the histogram that would best represent the scenario is the second column.
Hello kiddio lets figure this out!
The formula for simple interest is I = P*R*T where I = interest, P = Principal (original amount), R is the rate as a decimal, and T is time in years. So I = 1500*(.05)*6 = 1500*(0.30) = $450. The total amount you have after 6 years is the amount you started with ($1500) plus the interest ($450) which is $1950. The formula for yearly compounding is A = P(1 + r)t where A = Accumulated or final amount P = Principal ($1500) r = interest rate as a decimal (0.05)t = time (6 years) A = 1500*(1 + 0.05)6 = 1500*(1.05)6 = $2010.14
Have a nice day
