A television manufacturer decides to increase its production by 25% per month to meet increasing customer demand. The company cu
rrently produces 2,000 television sets a month.
Which of the following graphs shows the total number of television sets, y, manufactured by the company in x months?
Which of the following graphs shows the total number of television sets, y, manufactured by the company in x months?
1 answer:
Answer:
The last graph
Step-by-step explanation:
The problem presented here is similar to a compound interest problem since we have an initial value, a growth constant and the aspect of time.
We can consider the number of television sets currently produced by the company to be our Principal amount;
P = 2000
The rate of increase in production per month can be considered as our interest rate earned;
r = 25% = 0.25
The total number of television sets y will be our Accumulated amount;
A = y
The duration x becomes our time n.
The compound interest formula is given as;
We simply substitute the given information into the formula;
This is an exponential growth function since the base of the exponent x is greater than 1.
A graph of the function will be an exponential curve passing through ( 0, 2000) since 2000 is our initial value
You might be interested in
You're very close. However, the less steep line should go through (4,7) and not some point slightly above that location. Also, the shaded region should be above both dashed lines at the same time. So you won't include the portion that I've marked in blue (see attached). Other than that, it looks great.
You're probably supposed to find the value of p and not x, which is impossible to do.
Expanding gives
We're told that
which we can use to solve for p:
Let T = the distance, in miles, a tire lasts
T ~ N(70000,4400<span>²</span>)
P(T
75000)
= P(Z
)
= P(Z
)
≈ P(Z 1.14)
= 1 - P(Z < 1.14)
≈ 1 - 0.8729
= 0.1271
T ~ N(70000,4400<span>²</span>)
P(T
= P(Z
= P(Z
≈ P(Z
= 1 - P(Z < 1.14)
≈ 1 - 0.8729
= 0.1271