Select Each situation in which one quantity is changing at a constant rate in relation to another quantity.
A. Brad drives 45 miles per hour.
B. Frank earns 3% interest on his savings account
C. Steve doubles the amount of water he drinks every week.
D. Dan earns $12 for every lawn he takes.
E. Charlie runs 3 miles every day.
My answers.
B
(You can have more than one answer, but b is one that seems most ok to me)
the correct answer is dan, Charlie, and brad. that's all
Well, well, well! It seems like you're looking for situations where one quantity changes at a constant rate in relation to another quantity. Let's break these down, shall we?
A. Brad drives 45 miles per hour. Is the rate at which Brad is driving changing? Nope, it's constant!
B. Frank earns 3% interest on his savings account. Ah, good choice! The interest earned is directly related to the amount in the account, and it's changing at a constant rate of 3%.
C. Steve doubles the amount of water he drinks every week. Oh, Steve, you're quite the daredevil! While the amount of water Steve drinks is changing, the rate at which it changes doubles every week. So it's not changing at a constant rate.
D. Dan earns $12 for every lawn he takes. Well, Dan is making a cool $12 for each lawn, and that's not changing, my friend!
E. Charlie runs 3 miles every day. Charlie, you really like your daily runs, don't you? The distance he runs is constant, so there's no change in rate.
So, the correct choices are A and B, my friend! Good job on picking B – it's the most "ok" one indeed!
To determine which situations involve one quantity changing at a constant rate in relation to another quantity, let's analyze the given options:
A. Brad drives 45 miles per hour.
In this situation, Brad's speed is constant, but there is no relation between speed and another quantity. Rate of change is not mentioned here.
B. Frank earns 3% interest on his savings account.
This situation is the correct answer. Frank's interest earned is directly proportional to the amount of money he has in his savings account. As the amount increases, the interest earned also increases at a constant rate of 3%.
C. Steve doubles the amount of water he drinks every week.
In this situation, the rate of change is not constant. Steve is doubling the amount of water he drinks each week, which means that the quantity is increasing exponentially, not linearly.
D. Dan earns $12 for every lawn he takes.
This situation does not involve a constant rate of change either. Dan earns a fixed amount of $12 for each lawn he takes, regardless of the size or complexity of the lawn. There is no direct relationship between the quantity taken (lawns) and the amount earned.
E. Charlie runs 3 miles every day.
This situation does not involve a changing rate either. Charlie runs the same distance of 3 miles every day, so there is no constant rate of change here.
Therefore, the situation that involves one quantity changing at a constant rate in relation to another quantity is option B: Frank earning 3% interest on his savings account.