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.

Question

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sihanmintu sihanmintu · Answer 1 · 2020-04-04T18:53:25+02:00

Answer:

we get the all equation of given condition [tex]M = 2P+1[/tex] & [tex]P=2M+1[/tex]Step-by-step 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 [tex]M =2P[/tex]

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

Then, [tex]M+1= 2\times (P+2)[/tex]

[tex]M+1= 2P+2[/tex]

[tex]M = 2P+1[/tex]

This is Equation of the given case(1).

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

∴ [tex]P=2M[/tex]

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

Then, [tex]P+1=2\times(M+2)[/tex]

[tex]P+1=2M+2[/tex]

[tex]P=2M+1[/tex]

Hence,

we get the all equation of given condition [tex]M = 2P+1[/tex] & [tex]P=2M+1[/tex]