A person purchased 10 items to donate to a school. They bought backpacks that cost $25.75 each and notebooks that cost $4.25 each. The total cost of the items is $150. This situation can be represented by a system of equations with a unique solution. What does the solution (x, y) to the system of equations represent in this context?

the cost of all the backpacks

the cost of all the notebooks

the total amount of money spent on the items

the number of backpacks and notebooks purchased

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.

answer: c

step-by-step explanation