Nuts. com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. christopher spends $70, before taxes and shipping, to purchase 6.3 total pounds of nuts

Christopher bought 3.5 pounds of roasted pistachios and 2.8 pounds of raw almonds.

Step-by-step explanation:

From the information given, we can write the following equations:

A+P= 6.3 ①

10A+12P= 70 ②

To resolve them, we have to isolate one of the variables in the first equation and then replace that in the second equation:

A=6.3-P ③

10(6.3-P)+12P=70

63-10P+12P= 70

2P= 70-63

P= 7/2=3.5

Now, that we have found the quantity of roasted pistachios, we can replace that in equation number 3 to find the quantity of raw almonds:

A= 6.3-3.5= 2.8

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:

answer: b)

step-by-step explanation:

its a dot plot because since the score is not high numbers.

- r3ktforgood ☕