Question

1: Explain Why (4,1) is not a solution to the equation y=3x+1

2: Drinks at the fair cost $2.50. Use an equation to represent the relationship between the numbers of drinks bought and the cost. Define your variable and make a table to help write the equation.

Answer 1

1. (4,1) is not a solution because when u sub it into the equation, it does not come out correct. It would be correct if it was (1,4).

2. C = 2.50d.....where C is the cost and d is the number of drinks bought. And if u pick any number for d, then u can solve for the cost (C).

Answer 2

1. The point (4,1) is not a solution for the equation.

2.
`y=2.50x`

Explanation:

1. We are asked to explain why (4,1) is not a solution to the equation
`y=3x+1`.

We can see that right side of equation would be greater than left side, when we will substitute coordinates of point (4,1).

Let us substitute coordinates of point (4,1) in our given equation as:

`1=3(4)+1`

`1=12+1`

`1=13`

Therefore, the point (4,1) is not a solution for the equation.

2. We have been given that drinks at the fair cost $2.50.

Let x represent number of drinks, so cost of x drinks would be
`2.50x`.

The total cost (y) of x drinks would be
`y=2.50x`.

Therefore, the equation
`2.50x` represents the given equation.

Table:

Number of drinks Total cost

1 $2.50

2 $5.00

3 $7.50

4 $10.00