Respuesta :
Answer:
9x + 22y ≥ 220
x + y ≤ 16
Step-by-step explanation:
First x is number of hours washing cars and y is number of hours tutoring.
He makes $9 per hour on cars, $22 per hour tutoring. So we use variables as substitutes for actual values.
That is 9x + 22y. He can't make less than 220, so use the sign greater or equal to 220.
He also must work no more than 16 hours. Total hours is x+y, and no more than 16 means use the sign less than or equal to.
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Answer:
Variable Definitions
x=
x=
\,\,\text{the number of hours washing cars}
the number of hours washing cars
y=
y=
\,\,\text{the number of hours tutoring}
the number of hours tutoring
\text{\textquotedblleft no more than 16 hours"}\rightarrow \text{16 or fewer hours}
“no more than 16 hours"→16 or fewer hours
Therefore the total number of hours worked in both jobs, x+yx+y, must be less than or equal to 16:16:
x+y\le 16
x+y≤16
no less than $220"$220 or more
“no less than $220"→$220 or more
Blake makes $9 per hour washing cars, so in xx hours he will make 9x9x dollars. Blake makes $22 per hour tutoring, so in yy hours he will make 22y22y dollars. The total amount earned 9x+22y9x+22y must be greater than or equal to \$220:$220:
9x+22y\ge 220
9x+22y≥220
\text{Solve each inequality for }y\text{:}
Solve each inequality for y:
\begin{aligned}x+y\le 16\hspace{30px}& 9x+22y\ge 220 \\[0.8em] y\le 16-x \hspace{30px}& 22y\ge 220-9x \\[0.8em] \hspace{30px}& y\ge \frac{220-9x}{22} \\[0.8em] & y\ge 10-\frac{9}{22}x\end{aligned}
x+y≤16
y≤16−x
9x+22y≥220
22y≥220−9x
y≥
22
220−9x
y≥10−
22
9
x
Graph
Step-by-step explanation:
