Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Franklin Middle School is having a canned food drive. In Mr. Lao's class, Mr. Lao brought $10$ cans of food, and each student brought $2$ cans. In Ms. Roger's class, Ms. Rogers did not bring any cans, but each student brought $3$ cans of food. Write two equations in slope-intercept form to represent the number of cans of food for each class $y$ in terms of the number of students $x$ .

View step-by-step help

View step-by-step help

Write equations of sine and cosine functions using properties

Full solution

Q. Franklin Middle School is having a canned food drive. In Mr. Lao's class, Mr. Lao brought

10

cans of food, and each student brought

2

cans. In Ms. Roger's class, Ms. Rogers did not bring any cans, but each student brought

3

cans of food. Write two equations in slope-intercept form to represent the number of cans of food for each class

y

in terms of the number of students

x

.

Mr. Lao's class equation: Let's start with Mr. Lao's class. We know that Mr. Lao brought $10$ cans of food, and each student brought $2$ cans. The number of cans of food $(y)$ is a function of the number of students $(x)$ . The equation will have a $y$ -intercept (where $x=0$ ) of $10$ , because that's the number of cans Mr. Lao brought. The slope of the equation will be $2$ , because each student brings $2$ cans. So the equation for Mr. Lao's class is: $\newline$ $y = 2x + 10$
Ms. Roger's class equation: Now let's consider Ms. Roger's class. Ms. Rogers did not bring any cans, so the $y$ -intercept is $0$ . Each student brought $3$ cans of food, so the slope of the equation is $3$ . The equation for Ms. Roger's class is: $\newline$ $y = 3x + 0$ $\newline$ which simplifies to: $\newline$ $y = 3x$

More problems from Write equations of sine and cosine functions using properties

Question

Find an equation for a sinusoidal function that has period

2\pi

1

, and contains the point

\left(\pi, -1\right)

\newline

Write your answer in the form

f(x)=A\cos(Bx+C)+D

A

B

C

D

are real numbers.

\newline

f(x)=

Posted 1 month ago

Question

Find an equation for a sinusoidal function that has period

2\pi

1

, and contains the point

\left(-\frac{\pi}{2},-1\right)

. Write your answer in the form

f(x) = A\sin(Bx + C) + D

A

B

C

D

are real numbers. `f(x)` =______

Posted 2 months ago

Question

Find an equation for a sinusoidal function that has period

2\pi

1

, and contains the point

(0,-1)

\newline

Write your answer in the form

f(x) = A\cos(Bx + C) + D

A

B

C

D

are real numbers.

\newline

f(x) =

Posted 2 months ago

Question

Franklin Middle School is having a canned food drive. In Mr. Lao's class, Mr. Lao brought

10

cans of food, and each student brought

2

cans. In Ms. Roger's class, Ms. Rogers did not bring any cans, but each student brought

3

cans of food. Write two equations in slope-intercept form to represent the number of cans of food for each class

y

in terms of the number of students

x

Posted 2 months ago

Question

Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is

12

feet long, and each strand of his Christmes lights will wrap around a

70

-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?

\newline

6

\newline

7

\newline

8

\newline

9

Posted 2 months ago

Question

Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is

12

feet long, and each strand of his Christmas lights will wrap around a

70

-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?

\newline

6

\newline

7

\newline

8

\newline

9

Posted 2 months ago

Question

For a given input value

b

f

outputs a value

a

to satisfy the following equation.

\newline

4a+7b=-52

\newline

Write a formula for

f(b)

b

\newline

f(b)=\square

Posted 2 months ago

Question

For a given input value

x

g

outputs a value

y

to satisfy the following equation.

\newline

-4x-6=-5y+2

\newline

Write a formula for

g(x)

x

\newline

g(x)=\square

Posted 4 months ago

Question

For a given input value

a

f

outputs a value

b

to satisfy the following equation.

\newline

-3a+6b=a+4b

\newline

Write a formula for

f(a)

a

\newline

f(a)=\square

Posted 4 months ago

Question

Find the mean of the data set;

2,4,6,8,10

Posted 3 hours ago