% of decrease would be 100 - (22*100)/28
=100-78.57 = 21.43%
Number of cards of John: J
Number of cards of Alan: A
<span>John and Alan have a collection of x baseball cards:
J+A=x (1)
</span>John has x/4 cards:
J=x/4
<span>What fraction of the cards does Alan have?
</span>
Replacing J by x/4 in the equation (1)
(1) J+A=x
x/4+A=x
Solving for A:
x/4+A-x/4=x-x/4
A=4x/4-x/4
A=(4x-x)/4
A=3x/4
Answer: Alan has 3/4 of the cards
Answer:
Answer: A
Step-by-step explanation:
From the table given, the data sets are such that set A is a linear function while data set B is follows an exponential function. Given that the range of data set A over the same domain is smaller that the range of data set B over the same domain. Hence we conclude that the set A is linear and the values increase at a slower rate than set B.
It is convenient to start with the 2-point form of the equation for a line.
... y - y1 = (y2 - y1)/(x2 - x1)×(x - x1)
Either point can be (x1, y1), and the other can be (x2, y2). If we take them in order, we get
... y - 4 = (16 - 4)/(5 - 3)×(x - 3) . . . . . fill in the two points
... y = 12/2(x -3) +4 . . . . . . . . . . . . . . add 4, simpliffy a bit
... y = 6x -18 +4 . . . . . . . . . . . . . . . . . eliminate parentheses
... y = 6x -14 . . . . . . . . . . . . . . . . . . . . put in slope-intercept form
The rule is, the numbers are each going up by 2/6's
E.g. 1/6 , 3/6 (= 1/2), 5/6 , the missing number is, 1 whole and 1/6
