You can work a total of no more than 10 hours each week at your two jobs. Your house cleaning job pays $5. per hour and your sales job pays $8 per hours. You need to earn at least $56 each week to pay your bills.

Define your variables and write a system of inequalities that shows the number of hours you can work at each job.

Respuesta :

Step-by-step explanation:

Frist i split the hours even then times

it by how much the job's was making

so the 8 and 5 then  i added them at

the end of the week  of both jobs and

subtractive the bills of each week and

9 was what i had left over.

5* 5=25

5* 8=40

25+40=65

65-56= 9

System of inequalities are,  [tex]x+y<10[/tex]  and [tex]5x+8y\geq 56[/tex]

Let us consider, He does house cleaning job for x hours and sales job for y hours.

Since, he can work a total of not more than 10 hours each week at  two jobs.

So, inequality are,   [tex]x+y<10[/tex]

Since, house cleaning job pays $5. per hour and  sales job pays $8 per hours.

Thus, Total earn = 5x + 8y

But he need to earn at least $56 each week

So, inequality are , [tex]5x+8y\geq 56[/tex]

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