Answer:
12.8, 11.6, 10.4, 9.2, 8.0, 6.8, 5.6
3, 1.5, 0.75, 0.375, 0.1875, 0.09375, 0.046875
Step-by-step explanation:
The first one is arithmetic as the pattern is deducting 1.2, second one is geometric as it is dividing 2.
I think this is a trick question. That’s because 5.61 is the width, 2.3 is the thickness, and 13.672 is the length. If they are cutting it into 3 strips, wouldn’t you just multiply 13.672 by 3 to get 41.016? That would be the total length right?
Answer:
b. Using the commutative property. (not part of the solution process)
When we say that y varies <em>directly </em>with x, we mean that whatever value x is scaled up by, y will be scaled up by, too. The simplest kind of direct variation is one where y = x for all values of x. If you multiply x by some value, y must be multiplied by that same value.
More generally, though, you'll have something of the form y = kx, where the variable k here is referred to as the <em /><em>constant of proportionality.</em> Another way you can think of k is as the <em>ratio of y to x</em>.
In this problem, you're given a set of values for x and y, and you'll need to use those to find the constant of proportionality before you set up an equation relating x to y. Substituting our general equation y = kx for the given values, we have:
-5 = k(15)
To get k, simply divide both sides by 15 to obtain:
k = -5/15 = -1/3
So, our general equation, for <em>any x</em>, would be y = (-1/3)x
