A)Plugging in our initial statement values of y = 16 when x = 10, we get:
16 = 10k
Divide each side by 10 to solve for k:
16/10=
k = 1.6
Solve the second part of the variation equation:
Because we have found our relationship constant k = 1.6, we form our new variation equation:
y = 1.6x
Since we were given that x, we have
y = 1.6()
y = 0
B)Plugging in our initial statement values of y = 1 when x = 15, we get:
1 = 15k
Divide each side by 15 to solve for k:
1/15
=15k
k = 0.066666666666667
Answer: Variables
F and C are placeholders for numbers. They are called variables because they are allowed to vary, or change. If you change C then it affects F, and vice versa. If the values for the placeholders is not allowed to change, yet it holds a number, then it is considered a constant. In this case, we don't have constants or else the formula isn't too useful.
Answer:
-8 ≤ y ≤ 8
Step-by-step explanation:
Subtract 7 from the first one:
y ≥ -8
Subtract 3 from the second one, then multiply by 4.
y/4 ≤ 2
y ≤ 8
Now, you can write these as a compound inequality:
-8 ≤ y ≤ 8
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<em>Additional comment</em>
You basically solve these the same way you would an equation. The only difference is that multiplying or dividing by a negative number will reverse the inequality symbol:
2 > 1
-2 < -1 . . . . . multiplied above by -1.
