Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
"Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit rate."
Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to
arrive at the next point on the graph. Write these two numbers as a fraction."
Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit rate.
Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the
difference in the corresponding X-values."
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example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

4 candies

step-by-step explanation:

7 x 28 = 196

200 - 196 = 4 candies remaining.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4