Customers can pick their own apples at the happy apple farm. they pay $5 to enter the farm and $2.50 per pound for the apples they pick. write an equation to model the total cost, y, for xpounds of apples.

The equation would be y = 2.5x + 5

Step-by-step explanation:

To find this, first note that we need to multiply the variable by the changing amount. Since the price per pound is 2.5, we know that number needs to be multiplied by x.

We also know 5 must be the constant, since it is the cost to enter regardless of the amount of apples.

The equation is :

Step-by-step explanation:

Let the total cost of the apples be represented by = y

The one time payment to enter the farm is = $5

The cost of 1 pound of apples is = $2.50

So, lets suppose people pick 'x' pounds of apples. So, total price of apples is = 2.50x

Hence, the equation to model the total cost, y, for 'x' pounds of apples is :

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?