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Answer :
Sure! Let's work through the problem step by step.
a. We need to set up an equation to represent the total amount of money, [tex]\( m \)[/tex], remaining on the gift card after playing [tex]\( g \)[/tex] arcade games.
1. Start with the total amount on the gift card, which is [tex]$15.
2. Each game costs $[/tex]0.75.
3. If you play [tex]\( g \)[/tex] games, the total cost for playing those games would be [tex]\( 0.75 \times g \)[/tex].
4. To find the remaining money on the gift card, subtract the total cost from the initial amount on the gift card:
[tex]\[
m = 15 - 0.75 \times g
\][/tex]
This equation shows how much money is left after playing [tex]\( g \)[/tex] games.
b. Now let's find out how much money will remain on the gift card after playing 11 games.
1. We have our equation: [tex]\( m = 15 - 0.75 \times g \)[/tex].
2. Substitute 11 for [tex]\( g \)[/tex] since we're finding the balance after playing 11 games:
[tex]\[
m = 15 - 0.75 \times 11
\][/tex]
3. Calculate [tex]\( 0.75 \times 11 = 8.25 \)[/tex].
4. Subtract the cost of 11 games from the initial gift card amount:
[tex]\[
m = 15 - 8.25 = 6.75
\][/tex]
Therefore, after playing 11 games, there will be $6.75 remaining on the gift card.
a. We need to set up an equation to represent the total amount of money, [tex]\( m \)[/tex], remaining on the gift card after playing [tex]\( g \)[/tex] arcade games.
1. Start with the total amount on the gift card, which is [tex]$15.
2. Each game costs $[/tex]0.75.
3. If you play [tex]\( g \)[/tex] games, the total cost for playing those games would be [tex]\( 0.75 \times g \)[/tex].
4. To find the remaining money on the gift card, subtract the total cost from the initial amount on the gift card:
[tex]\[
m = 15 - 0.75 \times g
\][/tex]
This equation shows how much money is left after playing [tex]\( g \)[/tex] games.
b. Now let's find out how much money will remain on the gift card after playing 11 games.
1. We have our equation: [tex]\( m = 15 - 0.75 \times g \)[/tex].
2. Substitute 11 for [tex]\( g \)[/tex] since we're finding the balance after playing 11 games:
[tex]\[
m = 15 - 0.75 \times 11
\][/tex]
3. Calculate [tex]\( 0.75 \times 11 = 8.25 \)[/tex].
4. Subtract the cost of 11 games from the initial gift card amount:
[tex]\[
m = 15 - 8.25 = 6.75
\][/tex]
Therefore, after playing 11 games, there will be $6.75 remaining on the gift card.
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