Answer:
5/6
Step-by-step explanation:
Step 1: Rewrite 9/18
9/18 = 1/2
Step 2: Rewrite problem
1/2 + 1/3
Step 3: Find GCD (Greatest common denominator)
6
Step 4: Rewrite fractions
3/6 + 2/6
Step 5: Add
5/6
Answer:
The answer is 0.875.
Step-by-step explanation:
7 / 8 = 0.875.
0.875 x 8 = 7. (To check answer)
Find the amount of the increase:
8.13 - 6.19 = 1.94
Divide the amount of the increase by the original price:
1.94 / 6.19 = 0.3134
Multiply by 100:
0.3134 x 100 = 31.34%
Round to the nearest tenth = 31.3%
Maybe one of the easier ways to work this is to write the equation of the line through the points you know, then use that to find the point you don't know. The 2-point formula for a line is ...
... y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
Filling in (x1, y1) = (3, 213) and (x2, y2) = (8, 568), you get ...
... y = (568 -213)/(8 -3)·(x -3) +213
... y = 71(x -3) +213 . . . . . . simplified a bit
Now, for x=5, the value of <em>a</em> is ...
... a = 71(5 -3) +213 = 142 +213 = 355
The value of <em>a</em> that results in a constant rate of change is 355.
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The equation can actually be simplified further to ...
... y = 71x