Task Information: In 2019, Jose joined an online video game streaming service, Owl. He paid a one-time yearly fee of $12.75, and it costs $0.75 per a game (g) that he plays.
Part A: Write an expression that reflects the yearly fee and cost per game (g) that Jose paid.
Part B: During 2020, Jose spent $105.75 playing games using Owl. Using the expression from part A and his total spending for 2020, create and solve an equation that will help Jose determine how many video games (g) he played in 2020. Write one complete sentence to explain your answer.
Part C: In 2021, Jose wants to play the same number of video games as part B using Owl. The one-time yearly fee of $12.75 is the same, but Owl increased the cost per game (g) to $0.95 each. If Jose plays the same number of games as 2020, what would be his new total spent in 2021? Use the RICE strategy in your response to include 1-2 sentences and a model which shows your equation, calculations and checking of work.
c = 12.75 + 0.75g
solve 12.75 + 0.75g = 105.75
12.75 + 0.95g (g from part B)
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Part A: The expression that reflects the yearly fee and cost per game (g) that Jose paid is: 12.75 + 0.75g.
Part B: To determine how many video games (g) Jose played in 2020, we can set up the equation:
Total spending in 2020 = Yearly fee + Cost per game * Number of games played
105.75 = 12.75 + 0.75g
To solve for g, we subtract 12.75 from both sides of the equation:
93 = 0.75g
Then, we divide both sides of the equation by 0.75:
g = 124
So, Jose played 124 video games in 2020.
Part C: To find Jose's new total spent in 2021, we can use the same formula as in Part A with the updated cost per game:
New total spent in 2021 = Yearly fee + Cost per game * Number of games played
Since Jose wants to play the same number of games as in 2020 (124 games), the equation becomes:
New total spent in 2021 = 12.75 + 0.95 * 124
New total spent in 2021 = 12.75 + 118.8
New total spent in 2021 = 131.55
Therefore, Jose would spend a total of $131.55 in 2021 if he plays the same number of video games as in 2020.
Part A: To write an expression that reflects the yearly fee and cost per game (g) that Jose paid, we can use the formula:
Total cost = Yearly fee + (Cost per game * Number of games)
So the expression would be: $12.75 + ($0.75 * g), where g represents the number of games played.
Part B: To determine how many video games (g) Jose played in 2020, we can set up an equation using the total spending for 2020:
$105.75 = $12.75 + ($0.75 * g)
Now we can solve this equation to find the value of g. Rearranging the equation, we get:
$0.75 * g = $105.75 - $12.75
$0.75 * g = $93
Dividing both sides by $0.75, we get:
g = $93 / $0.75
g = 124
Therefore, Jose played 124 video games in 2020.
Part C: To calculate Jose's new total spending in 2021, we can use the same number of games played as in 2020 but with the increased cost per game. The formula will be:
Total cost = Yearly fee + (Cost per game * Number of games)
Let's substitute the values in the formula:
Total cost = $12.75 + ($0.95 * 124)
Calculating this, we get:
Total cost = $12.75 + $117.80
Total cost = $130.55
Therefore, Jose's new total spent in 2021 would be $130.55.
RICE strategy:
- R: The problem is asking us to determine the expression, calculate the number of games played in 2020, and find the new total spending in 2021.
- I: We are given the yearly fee, cost per game, and total spending in 2020. We need to use this information to derive the required answers.
- C: The expression reflecting the cost and number of games is $12.75 + ($0.75 * g). In 2020, Jose played 124 games. In 2021, with the increased cost per game, his new total spent would be $130.55.
- E: The calculations and equations used in the responses have been shown step-by-step to explain how the answers were obtained.