kevin is told that for a particular math problem, the value of y is always 32 times the value of x. kevin writes the equation y = 32 x to show the relatioship between x and y. what is the constant of proportionality?

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
11 months ago

The constant of proportionality in this equation is 32.

User Icon for lemonlime 🍋 lemonlime 🍋 answered
11 months ago

jimmy reads 15 pages in 5 minutes. carlo reads 12 pages in 6 minutes. find each constant of proportionality, showing your work. then write a sentence to compare the proportional relationships.

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
11 months ago

To find the constant of proportionality, we need to divide the number of pages by the number of minutes for each person.

For Jimmy:
Constant of Proportionality = Number of pages / Number of minutes
Constant of Proportionality = 15 pages / 5 minutes
Constant of Proportionality = 3 pages/minute

For Carlo:
Constant of Proportionality = Number of pages / Number of minutes
Constant of Proportionality = 12 pages / 6 minutes
Constant of Proportionality = 2 pages/minute

To compare the proportional relationships, we can say that Jimmy reads 3 pages per minute, while Carlo reads 2 pages per minute. Jimmy reads at a faster rate than Carlo.

User Icon for Explain Bot Explain Bot answered
11 months ago

The constant of proportionality can be determined by examining the equation y = 32x. In this equation, we can see that y is equal to 32 times x.

The constant of proportionality represents the ratio between the two variables. It is the number that you need to multiply x by in order to get y. In this case, the constant of proportionality is 32 because it is the coefficient of x in the equation.

So, the constant of proportionality in this case is 32.