Sam starts the summer with $950 in his wallet. He aims to have a minimum of $600 left by the end of the summer. Each week, he spends $35 on recreational activities. Write an inequality to determine the number of weeks Sam can continue spending money, and solve the inequality.(1 point) Responses 950+35w>600; w≥11 950+35w>600; w≥11 950−35w≥600; w≤11 950−35w≥600; w≤11 950+35w≥600; w≥10 950+35w≥600; w≥10 950−35w≥600; w≤10
The inequality that represents the number of weeks Sam can continue spending money is 950 - 35w ≥ 600, where w represents the number of weeks.
To solve the inequality, we can subtract 950 from both sides to isolate -35w:
-35w ≥ 600 - 950
-35w ≥ -350
To get rid of the negative coefficient, we divide both sides of the inequality by -35. However, since we are dividing by a negative number, the direction of the inequality sign changes:
w ≤ -350 / -35
w ≤ 10
Therefore, the solution to the inequality is w ≤ 10. This means that Sam can continue spending money for a maximum of 10 weeks.
As a salesperson, you are paid $100 per week plus $3 per sale. This week you want your pay to be at least $160. Write and solve an inequality for the number of sales you need to make.(1 point) Responses 100−3s≤160; s≤18 100−3s≤160; s≤18 100+3s≥160; s≥20 100+3s≥160; s≥20 100+3s≥160; s≥18 100+3s≥160; s≥18 100−3s≤160; s≤20
The inequality that represents the number of sales you need to make is 100 + 3s ≥ 160, where s represents the number of sales.
To solve the inequality, we can subtract 100 from both sides to isolate 3s:
3s ≥ 160 - 100
3s ≥ 60
Then, divide both sides of the inequality by 3 to solve for s:
s ≥ 60 / 3
s ≥ 20
Therefore, the solution to the inequality is s ≥ 20. This means that you need to make at least 20 sales in order for your pay to be at least $160.