Answer:
b = - 0.432
Step-by-step explanation:
It takes 200 seconds to produce the first widget. And by the 400th widget, it takes only 15 seconds.
Now, the formula that gives the time to make the nth widget is given by
and we have to evaluate the constant b from the above-given conditions.
So,
⇒
Taking log on both sides
b log (400) = log (0.075)
⇒ b = - 0.432 (Answer)
Answer:
C. –x + 8y = 56
Step-by-step explanation:
Write in standard form.
x − 8 y = − 56
This is a linear function in the slope - intercept form:
y = m x + b and we need a standard form:
a x + b y = c
y = 1/8 x + 7 / * 8 ( we will multiply both sides of equation by 8 )
8 y = x + 56
- x + 8 y = 56 / * ( - 1 )
x - 8 y = - 56
The equation is y = 1/8x + 7
Standard form equation is Ax + By = C, where A > = 0.
First eliminate the fractions by multiplying the equation by 8
8y = x + 56
Subtract x from each side
-x + 8y = 56
SInce x coeficient can't be negative multiply the equation by negative one.
x - 8y = -56
