An equation is formed of two equal expressions. The value of x for which 4ˣ=(1/8)ˣ⁺⁵ is 3.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The value of x for which 4ˣ=(1/8)ˣ⁺⁵ is,
4ˣ=(1/8)ˣ⁺⁵
(2²)ˣ = (2⁻³)ˣ⁺⁵
2²ˣ = 2⁽⁻³ˣ⁺¹⁵⁾
2x = -3x + 15
5x = 15
x = 3
Hence, the value of x for which 4ˣ=(1/8)ˣ⁺⁵ is 3.
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The second one, Amanda's method is linear because the number of minutes increased by an equal number every week. Billy's method is linear because the number of minutes increased by an equal factor every week.
Answer:
The Answer is: y - 8 = 5/3(x - 3)
Step-by-step explanation:
Given the y intercept form:
y = 5/3x + 3
Note that the slope is 5/3.
Find a point on the line.
Choose x = 3, solve for y:
y = 5/3(3) + 3
y = 5 + 3
y = 8
This give you the point:
(3, 8)
Use this to substitute into the point slope equation:
y - y1 = m(x - x1)
y - 8 = 5/3(x - 3)
So when one goes up, the other goes down. This is an inverse equation.
An inverse equation looks like this: y = 1/x
In this case, when parking fee (f) decreases, cars (c) increase.
You know which side to put each variable on using the chart they gave you.
f | c
20.00 15 (20.00 = x/15) x=300
30.00 10 (30.00 = x/10) x=300
So your equation in this case is f = 300/c
Knowing that, plug in the fee of 6.00
6 = 300/c Multiply both sides by c.
6c = 300 Divide both sides by 6.
c = 50 cars
