Question

Gloria is an artist. She sets a goal to paint 2 paintings every month. The number of paintings Gloria creates depends on the number of paintings, p, Gloria paints over m months if she meets her goal. Check all that apply.

M is the independent variable and p is the dependent variable.


P increases by 2 as m increases by 1.


The equation representing the situation is m=2p


The equation representing the situation is p=2m


P is the independent variable and m is the dependent variable.


M increases by 2 as p increases by 1.

Answer 1

we get the all equation of given condition
`M = 2P+1` &
`P=2M+1`Explanation:

Given that,

Number of painting made by Gloria every month is 2.

Gloria creates depends on the number of paintings p, Gloria paints over m months if she meet her goal.

we have to check all the apply.

According to question,

M is the independent variable and P is dependent variable.

So, Relation formed by given statement is
`M =2P`

Case(1): P is increased by 2 as M is increased by 1.

Then,
`M+1= 2* (P+2)`

`M+1= 2P+2`

`M = 2P+1`

This is Equation of the given case(1).

Again, P is the independent variable and M is dependent variable.

∴
`P=2M`

Case (2) M is increased by 2 as P increased by 1.

Then,
`P+1=2*(M+2)`

`P+1=2M+2`

`P=2M+1`

Hence,

we get the all equation of given condition
`M = 2P+1` &
`P=2M+1`