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.
(Hint: He spent $35 for 10 weeks, in total he spent 350, now he is left with the amount he wanted to not spend pass, 600.)
Let "w" represent the number of weeks Sam can continue spending money.
Sam spends $35 for each week, so the amount he spends in "w" weeks is 35w.
Sam initially has $950, and he aims to have a minimum of $600 left, so his remaining money after "w" weeks is 950 - 35w.
To find the number of weeks Sam can continue spending money, we need to solve the inequality:
950 - 35w ≥ 600
Subtract 950 from both sides:
-35w ≥ 600 - 950
Simplify the right side:
-35w ≥ -350
Divide both sides by -35. Remember to reverse the inequality when dividing by a negative number.
w ≤ -350/-35
w ≤ 10
Sam can continue spending money for a maximum of 10 weeks.
So, your final answers are c or do choose correctly
My final answer is that Sam can continue spending money for a maximum of 10 weeks.
No, these answers
) 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
I apologize for the incorrect response. The correct inequality is:
950 - 35w ≥ 600
To solve this inequality, we can subtract 600 from both sides:
350 ≥ 35w
Divide both sides by 35:
10 ≥ w
So, the correct answer is:
Sam can continue spending money for a maximum of 10 weeks.
put the full answer together plz
Sure, here is the full answer:
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.
To determine the number of weeks Sam can continue spending money, we will write an inequality and solve it.
Let "w" represent the number of weeks Sam can continue spending money.
Sam spends $35 for each week, so the amount he spends in "w" weeks is 35w.
Sam initially has $950, and he aims to have a minimum of $600 left, so his remaining money after "w" weeks is 950 - 35w.
The inequality that represents this situation is:
950 - 35w ≥ 600
To solve this inequality, we subtract 600 from both sides:
350 ≥ 35w
Next, we divide both sides by 35:
10 ≥ w
So, the final answer is:
Sam can continue spending money for a maximum of 10 weeks.
which way do both the fractions face, left, right or same way
The inequality symbols (<, >, ≤, ≥) should face the same way. In this case, the correct inequality is:
350 ≥ 35w