Question

Write an equation for the number of points, y Enrique scores on the test when he answers x questions correctly.

On his first geography test, Enrique answered 3 questions correctly. On his second test, Enrique answered 7 questions correctly.

Answer 1

Answer with explanation:

→For, x correct answer number of points scored = y

For ,1 correct answer number of points scored
`=(y)/(x)`

→The statement about the problem is

On his first geography test, Enrique answered 3 questions correctly. On his second test, Enrique answered 7 questions correctly.

Writing the statement in terms of equation

In First test

For, three correct answer number of points scored ,
`=(3 y)/(x)`

As, it is given that number of correct answers is 3, and number of question is x, so total number of incorrect answer will be = x-3,

For, incorrect answer points scored will be =0

In Second test

For, seven correct answer number of points scored ,
`=(7 y)/(x)`

As, it is given that number of correct answers is 7, and number of question is x, so total number of incorrect answer will be = x-7,

For, incorrect answer points scored will be =0

So, transforming the statement in terms of equation

Total number of points

`(3y)/(x)+(7y)/(x)=(10y)/(x)`

Answer 2

Answer:
1. 3x = y
2. 7x= y.

Step-by-step explanation:
If x is the amount of points each question that is answered correctly received then the coefficient that x is multiplied by will be the amount for each test.

For the first equation we have 3 as the amount answered correctly time x the points each one is worth = total points y.

For the second equation we have 7 as the amount answered correctly time x the points each one is worth = total points y .