(14 POINTS!) Based On the information in the table, is the cost of the apples proportional to the weight of apples ?

The statement of whether the cost is proportional to the cost and weight of apples is: yes, it is proportional.

Step-by-step explanation:

From what I can find out from the graph, I would firstly likely want to see if there is a constant between each pound and cost. Meaning, I would want to see if there is a rule that is used throughout the table.

From what I had found out, the rule of this table is:

(x = pounds of apples)

(y = cost of apples)

y = 1.88x

This means that in order to get the 'y' value, also known as the cost of apples, we must multiply 1.88 to the 'x' values, pounds of apples.

This can be found by:

First, dividing 3.76 to 2, your quotient is: 1.88

Then we need to see if this applies to the other terms as well by multiplying 1.88 to each 'x'

y = 1.88x

y = 1.88(3) = 5.64

y = 1.88(4) = 7.52

y = 1.88(5) = 9.4

You get the same vaule, which means that this is proportional to the table provided.

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

idk

step-by-step explanation: