Mina asked four friends to explain how each one solved the expression 176.3 15.75  . Here are their explanations: Ivy’s explanation: I lined up the numbers to subtract. 176.3 15.75 18.8  Hannah’s explanation: I lined up the two decimals according to place value. I put a 0 in the hundredths place to make it easier for me to subtract. 176.30 15.75 161.45  Jose’s explanation: I lined up the two decimals according to place value. 176.3 15.75 161.45  An’s explanation: I counted up from 15.75 to 176.3 to find the difference. I underlined each number I added on each line. 15.75 0.25 16 16 4 20 20 150 170 170 6 176 176 0.3 176.3           I rearranged the underlined numbers to make them easier to add: 150 6 4 3 0.25 163.25      . (d) Explain each student’s mistake. (e) Solve the problem correctly. Show your work.

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.

yes

step-by-step explanation:

94

step-by-step explanation:

average the numbers and use a variable to figure out the minimum to get a 90.

(79+94+91+92+x)/5=90

x = 94

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.