Jack has a business mowing lawns and charges a flat fee of $20 per yard, plus an additional $5 an hour. He wants to make sure that he makes at least $70 doing yard work for a client with a very large yard. He sets up and solves the equation above

Respuesta :

If you do 20 + 5x = 70, that'll give you the total hours (x)

70-20 = 50,
5x = 50
Divide each by 5,
x = 10

Answer:

He takes minimum 10 hours to make a very large yard .

Step-by-step explanation:

Given

Jack charges a falt fee  per yard = $20

Jack charges  an additional money per hour = $5

He wants to make sure that he makes at least $70 doing yard work for client by making   a very large yard

Let , he takes x  hour for making a very large yard

Therefore , we make an inequality

[tex]20+5x\geq 70[/tex]

Subtracting 20 from  both side then we get the inequality

 [tex]5x\geq 50[/tex]

By simplication we get

[tex]x\geq \frac{50}{5}[/tex]

By dividing we get

[tex]x\geq 10[/tex]

Hence, he takes atleast  10 hours for making a very large yard if he doing yard work and makes atleast $70 .

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