Answer:
4) p=b(1/2)
6) y=50+25h
Step-by-step explanation:
Let me know if you need an explanation!
Answer:
Exponential decay.
Step-by-step explanation:
You can use a graphing utility to check this pretty quickly, but you can also look at the equation and get the answer. Since the function has a variable in the exponent, it definitely won't be a linear equation. Quadratic equations are ones of the form ax^2 + bx + c, and your function doesn't look like that, so already you've ruled out two answers.
From the start, since we have a variable in the exponent, we can recognize that it's exponential. Figuring out growth or decay is a little more complicated. Having a negative sign out front can flip the graph; having a negative sign in the exponent flips the graph, too. In your case, you have no negatives; just 2(1/2)^x. What you need to note here, and you could use a few test points to check, is that as x gets bigger, (1/2) will get smaller and smaller. Think about it. When x = 0, 2(1/2)^0 simplifies to just 2. When x = 1, 2(1/2)^1 simplifies to 1. Already, we can tell that this graph is declining, but if you want to make sure, try a really big value for x, like 100. 2(1/2)^100 is a value very very very veeery close to 0. Therefore, you can tell that as the exponent gets larger, the value of the function goes down and gets closer and closer to zero. This means that it can't be exponential growth. In the case of exponential growth, as the exponent gets bigger, your output should increase, too.
At a speed of 40 mph, it would take 15 minutes to drive to the mall
The first step to take in order to determine the answer is to determine the distance driven to the mall. This information is not given so it has to determined.
Distance = speed x total time
- speed = 30 mph.
- time = 20 minutes
Speed is measured in hours, while time is measured in minutes. Both data has to be converted to the same time measurement
To convert time to hour, divide by 60 = 20 / 60 = 1/3
Distance = 1/3 x 30 = 10 m
The second step is to use the distance determined in the previous step to determine the time it would take to travel at a speed of 40 mph
Time = Distance / Average Speed
10 / 40 = 1/4 hours
To convert hours to minutes, multiply by 60 :1/4 x 60 = 15 minutes
In order to determine the time that it would take to drive to the mall, first determine the distance to the mall. Use the distance and speed to determine the time
A similar question was solved here: brainly.com/question/14391898?referrer=searchResults
Answer:
Step-by-step explanation:
Let x represent the number of phone call that she routes.
Laylah has already spent 3 minutes on the phone and she expects to spend 1 more minute with every phone call she routes. This means that if she routes x phone calls, the total number of time that Layla would have spent on the phone is
3 + x
If she routes 23 phone calls, the total time that Layla would have spent on the phone in total is
3 + 23 = 26 minutes
