mjsongbird6
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Ezra works two summer jobs to save for a laptop that costs at least $1100. He charges $15/hr to mow lawns and $10/hr to walk dogs. Recall the inequality that represents this situation: 15x + 10y ≥ 1100

Explain how to graph the solution set.

Respuesta :

meerkat18
The first step is to ignore the inequality symbol first and replace it with '=' sign. Then, find the x- and y-intercepts.

15x + 10y = 1,100
x-intercept:
15x + 0 = 1,100
x = 1,100/15 = 73.33
y-intercept:
0 + 10y = 1,100
y = 1,100/10 = 110

Now, plot points (73.33,0) and (0,110). Since the equality symbol is ≥, which has an equal sign to it, connect the points using a solid line. 

Next, let's find a point on the graph. Suppose it is the origin at (0,0). Use this points to the equation.
15x + 10y ≥ 1,100
15(0) + 10(0) ? 1,100
0 ? 1,100
0 < 1,100
It makes the symbol ≥ false. Therefore, it means that the other region bounded by the line is the solution. So, you shade this area. The final graph is shown in the picture attached.
Ver imagen meerkat18
aksnkj

The inequality for the given situation will be [tex]15x + 10y \leq 1100[/tex].

Given:

The cost of laptop is $1100.

The charge to mow lawns is $15 per hour and the charge to walk dogs is $10 per hour.

Ezra wants to earn money to buy laptop.

Let the number of hours of work to mow lawn is x and that to walk dogs is y.

The maximum amount that he wants is the price of the laptop which is $1100.

So, the condition can be written as,

[tex]15x + 10y \leq 1100[/tex]

The above condition states that he should work in both the jobs, such that the total money earned should be less than or equal to $1100.

Therefore, the inequality for the given situation will be [tex]15x + 10y \leq 1100[/tex].

See the attached graph.

For more details, refer the link:

https://brainly.com/question/15748955?referrer=searchResults

Ver imagen aksnkj

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