A student showed the steps below while solving the equation 14 = log Subscript 5 Baseline (2 x minus 3) by graphing. Step 1: Write a system of equations: y 1 = 14; y 2 = log Subscript 5 Baseline (2 x minus 3) Step 2: Use the change of base formula to rewrite the equations: y 1 = log 14; y 2 = StartFraction log (2 x minus 3) Over log 5 EndFraction Step 3: Graph the two equations: On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1 and approaches y = 2. It crosses the x-axis at (2, 0). A horizontal straight line is at y = 1. Step 4: Identify the x-value at the point of intersection: x almost-equals 4.5 In which step did the student make the first error? step 1 step 2 step 3 step 4

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

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.