Question

use the following situation to answer the following three part question
cameron and joey are both saving money to buy a new video game. cameron already has $25, and he is saving $10 every week. joey has $40 and is saving $5 every week.
3 which inequality would you use to solve for the amount of weeks it would take cameron to have more saved money than joey?
(a)
ⓐ $25w + 10 < 40w + 5$
ⓑ $25 + 10w < 40 + 5w$
ⓒ $25 + 10w > 40 + 5w$
ⓓ $25w + 10 > 40w + 5$
(b) solve the inequality. solution: dropdown
(c) explain what your solution means in context to the situation
my solution means that... text box
0 words

Explanation:

Part (a)

Cameron's total savings after \( w \) weeks: initial \( \$25 \) + \( \$10 \) per week, so \( 25 + 10w \). Joey's total savings: initial \( \$40 \) + \( \$5 \) per week, so \( 40 + 5w \). We need Cameron's savings > Joey's, so \( 25 + 10w > 40 + 5w \), which is option C.

Step1: Subtract \( 5w \) from both sides

\( 25 + 10w - 5w > 40 + 5w - 5w \)
\( 25 + 5w > 40 \)

Step2: Subtract 25 from both sides

\( 25 + 5w - 25 > 40 - 25 \)
\( 5w > 15 \)

Step3: Divide by 5

\( \frac{5w}{5} > \frac{15}{5} \)
\( w > 3 \)

The solution \( w > 3 \) means that after more than 3 weeks (i.e., starting from the 4th week), Cameron will have more saved money than Joey.

Answer:

C. \( 25 + 10w > 40 + 5w \)

Part (b)