Question

*Image of Graph and everything for this question in Jpeg image The tennis club is selling water bottles and hats to raise money for a tennis tournament. A water bottle costs $4 and a hat costs $6. The club wants to raise $1,200. 1. Write a linear equation that describes the problem.2. Graph the linear equation. Make sure to label both axes with appropriate titles. 3. Use the graph to approximate how many hats the tennis club must sell if it sells 150 water bottles are sold.

Answer 1

15.

Given:

The cost of a water bottle = $4.

The cost of a hat = $ 6.

The total amount = $ 1,200.

Aim :

We need to find the linear equation for the given model.

Step-by-step explanation:

Let x be the number of water bottles.

Let y be the number of hats.

The cost of the x number of water bottles = x time 4.

The cost of the x number of water bottles = 4x.

The cost of the y number of hats = y times 6.

The cost of the y number of hats = 6y.

Addition of 4x and 6y = the total amount

`4x+6y\text{ =1200}`

Answer:

The linear equation is

`4x+6y\text{ =1200}`

16.

Aim:

We need to graph the line equation.

Set x =0 and substitute in the eqaution to find the value of y at x =0.

`4(0)+6y\text{ =1200}`

`6y\text{ =1200}`

Divide both sides of the equation by 6.

`(6y)/(6)=(1200)/(6)`
`y=200`

We get the point (0,200).

Set x =150 and substitute in the eqaution to find the value of y at x =150.

`4*150+6y\text{ =1200}`

`600+6y\text{ =1200}`

Subtract 600 from both sides of the equation.

`600+6y-600=1200-600`

`6y=600`

Dividing both sides of the equation by 6.

`(6y)/(6)=(600)/(6)`
`y=100`

We get the point (150,100).

Mark the points (0,200) and (150,100) on the graph and join them by ray.

The graph of the line equation is

17.

The number of water bottles that sold = 150.

From the graph, we get the point (150,100).

The number of hats =100.