She earns ($9.70x40) for a 40 hour week=$388
She earned $489.85-$388 extra= $101.85
She gets paid $9.7x1.5 for every extra hour=$14.55
She worked $101.85/$14.55 hours extra=7hours
She worked 7+40 hours that week=47 hours
Let's take the non-linear equation:
First Make The Equation To Be In Terms of Y
*Divide Both sides by
*Simplify
You shouldn't keep a radical in the denominator, however we leave it for the purpose of the reciprocal.
*Take The Reciprocal Of Both Sides
A Linear Equation Takes The Format:
So,
Resulting in :
Step-by-step explanation:
Step-by-step explanation:
\begin{gathered} \frac{8x - 3}{3x} = 2 \\ 8x - 3 = 6x \\ 8x - 6x = 3 \\ 2x = 3 \\ x = \frac{3}{2} \end{gathered}
3x
8x−3
=2
8x−3=6x
8x−6x=3
2x=3
x=
2
3
Answer:
Rule: y = 2x
m = 2
b = 0
Step-by-step explanation:
(17, 34) and (22, 44)
<u>Slope:</u>
m=(y2-y1)/(x2-x1)
m=(44-34)/(22-17)
m= (10)/5
m = 2
<u>Slope-intercept:</u>
y - y1 = m(x - x1)
y - 34 = 2(x - 17)
y - 34 = 2x - 34
y = 2x
y = mx + b
y = 2x
b = 0
The number 1.04 represents the rate at which the house appreciates, or increases in its price annually.
As according to the values of an exponential equation, which is represented by this: y=ab^x, the a value represents the original price, the b value represents the rate of growth/decay (if growth, you add 1 to the rate, if decay, you subtract the rate from 1), and x represents the amount of times it decays or grows.
As according to the function <span> f(x) = 242,000(1.04)^x, 242,000 is the original price and 1.04 is the rate of growth since 1 has been added to the the 4% annual growth.</span>
