Can someone explain this please?

3 + 2y = 2 + 4y

Step-by-step explanation:

1. Create the equation

3 + 2y = 2 + 4y

There are 3 "1" blocks and 2 "y" blocks on the left. There are 2 "1" blocks and 4 "y" blocks on the right. The scale shows both are equal.

3 + 2y = 2 + 4y

Step-by-step explanation:

To create an equation from this model, we look at both sides of the scale. The left has three 1 units and two y units, and there are two 1 units and four y units on the right side. Since the scale shows that both sides are equal in weight, we know that our equation would have an equal sign to show they are equal.

Left: Three 1 units can be written as 3 and two y units could be written as 2y.

Right: Two 1 units can be written as 2 and four y units could be written as 4y.

Now, we put these values together (with an equal sign) to get:

3 + 2y = 2 + 4y.

Hope this helps!

PART: I--

Let x represent the number of days of camping.

and y represent the camping fees.

Now, it is given that:

The campsite you want to rent charges a $15 fee to reserve the site, plus an extra $3 per day.

This means that the slope is: 3

( since it represent the cost per day)

and the y-intercept is 15 since it represent the fixed cost.

Hence, we have:

          y=3x+15

( since the slope-intercept of a line is given by:

       y=mx+c where m is slope and c is intercept of line)

PART II--

We know that the y-intercept of a graph is the value of y at the point where the x-value is zero and the x-intercept of a graph is the x-value at the point where y-value is zero.

From the given linear equation i.e.

               y=3x+15

when x=0 we have:

y=15

This means that y-intercept is: 15

and when y=0 we have:

3x= -15

⇒   x= -5

This means that x-intercept is: -5

PART III--

We know that the slope of a graph is calculated as:

If the graph passes through two distinct points i.e. (a,b) and (c,d) then:

Hence, from the graph the graph passes through (0,15) and (1,18)

This means that:

PART IV--

The cost to camp for a week means we have to find the value of y such that x=7

( since there are 7 days in a week )

Hence,

y=3×7+15

y=36

Hence, the cost to camp for a week is:  $ 36

Now, we are asked to find the value of x when  y=40

i.e.   3x+15=40

i.e.  3x=25

i.e. x=8.33≈8 days

Hence, the number of days one could stay if he had $ 40 is: 8.33≈8 days