33 inches per year
in half a year, the sunflower grew 37 -20 1/2 = 16 1/2 inches. your proportion is
(16 1/2 inches)/(1/2 year) = g/(1 year) . . . . where g is the yearly growth
multiplying by 1 year and simplifying, you can find g to be
g = (33/2 inches)/(1/2) = 33 inches
that is, the growth rate is 33 inches per year.
comment on the solution technique
i personally find a proportion to be unnecessary. when you want to find the rate of x per y, divide the amount of x you are given by the amount of y you are given.
here, you are given a growth of 16 1/2 inches in 1/2 year, so you simply perform the division (16 1/2 inches)/(1/2 year) = 33 inches/year.
choice a is correct answer.
y= mx+c is slope-intercept form for equation of line where m denotes slope and c denotes y-intercept.
slope is ratio of change in y to change in x.
slope= m = δy/δx
y-intercept is a point on graph where the value of x is zero.
given equation is :
y = 1/5x-6
hence,slope = m= 1/5 and y-intercept = c = -6
hence, choice a is your answer.
we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.
we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:
x + 62° + 53° = 180°
solving to find the value of x:
x = 180 - (62 + 53) = 65°
therefore, the value of x in this triangle is 65°.