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

Answer:

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

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

    Then,                   $M+1= 2\times (P+2)$

                                  $M+1= 2P+2$

                                       $M = 2P+1$

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,                $P+1=2\times(M+2)$

                             $P+1=2M+2$

                               $P=2M+1$

Hence,

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