Can someone help me with this math homework please!

2 and 3.

Step-by-step explanation:

2. and 3.

the total number of paintings depend upon the number of weeks that have passed as she adds 3 paintings every week to her collection.

1. can't be an option as output values depend upon the input values and hence not independent

4. can't be an option because each week that passes she adds 3 more paintings and since one input has 3 outputs, its not a function.

5. the number of weeks is the input value and number of paintings is the output value as you can later SEE how many paintings she has, not how many weeks it took her.

(B, C, D)

Step-by-step explanation:

This scenario can be represented using this equation:

y = 3x + 7

y = total paintings after # of weeks (dependent variable)

x = # of weeks (independent variable)

3 = 3 paintings per week

7 = initial number of paintings

Let's evaluate each answer choice:

"The independent variable is represented by the ouput values"

No, this is wrong. The indepedent variable is the input values.

"The dependent variable is the total number of paintings"

This is correct. The total # of paintings is the output value, or the dependent variable.

"The total number of paintings depends on the number of weeks that have passed"

This is correct. The total # of paintings is the output value, or the dependent variable, because it depends on the # of weeks that pass by.

"This scenario is a function because for each week that passes, there will be exactly one total number of paintings"

This is correct. There is only one possible output for each input.

"The number of weeks is the output value"

No, this is wrong. The total # of paintings is the output value, not the # of weeks.

Hope it helps (●'◡'●)

speed of plane is 60/miles per hour

Speed of wind is 20 miles per hour

Step-by-step explanation:

Let x represent the speed of the plane.

Let y represent the speed of the wind.

A plane traveled 240 miles. The trip was with the wind. It took 3 hours.

This means that the speed is x+y miles/hour. Therefore

240 = 3(x+y)

240 = 3x + 3y - - - - - - - - 1

The trip back was into the wind.

The trip back took 6 hours.

Since it flew against the wind, the speed would be x-y km/hour

Distance = speed × time. Therefore

240 = 6(x - y )

240 = 6x - 6y

Dividing through by 2

120 = 3x - 3y- - - - - - - - - 2

Adding equation 1 and equation 2, it becomes

360 = 6x

x = 360/6 = 60

Substituting x = 60 into

240 = 6(x - y )

x - y = 240/6 = 40

y = 60 - 40 = 20