Question

Math please help ???

Answer 1

no freaking way, is the state test? because if it is, then wow, you need to do your work

Explanation:

Answer 2

Answer: Option B

`y=0.5x +0.75`

Explanation:

The equation modeling this situation is a linear equation of the form

`y = mx + b`

Where x is the slope and b is the intercept with the y axis.

To find the equation of a line we need two points that belong to the line.

We know that when it is empty the jug weighs 0.75 lib.

This is:

When x = 0, y = 0.75

Then when the jug contains 3 cups of water it weighs 2.25 pounds.

This is:

When x = 3, y = 2.25

We already have the two points

Then we find the slope of the straight

`m=(y_2-y_1)/(x_2-x_1)`

`y_2 = 2.25\\\\y_1=0.75\\\\x_2=3\\\\x_1=0`

`m=(2.25-0.75)/(3-0)`

`m = 0.5`

The equation is:

`y=0.5x +b`

We substitute the point (0, 0.75) in the equation and solve for b

`0.75=0.5(0) +b`

`b=0.75`

Finally the equation is:

`y=0.5x +0.75`