Answer :
Certainly! Let's match each scenario with the correct equation by interpreting the situations described:
1. Scenario: Marie buys balloons for a party that are \\[tex]$3.00 each. - Here, the total cost of the balloons (\(y\)) depends on the number of balloons (\(x\)) Marie buys, with each balloon costing \$[/tex]3.00.
- The equation representing this relationship is:
[tex]\[ y = 3x \][/tex]
2. Scenario: Skate rental charges an additional \\[tex]$3. - In this scenario, the total cost of renting skates (\(y\)) is given by the base cost (\(x\)), plus an additional fee of \$[/tex]3.
- The equation that describes this situation is:
[tex]\[ y = x + 3 \][/tex]
3. Scenario: Jeff is 3 years less than Tony's age.
- Here, Jeff’s age ([tex]\(y\)[/tex]) is described as being 3 years less than Tony’s age ([tex]\(x\)[/tex]).
- The equation that models this relationship is:
[tex]\[ y = x - 3 \][/tex]
Therefore, we have matched each scenario with its respective equation:
1. Marie buys balloons for a party that are \[tex]$3.00 each: \[ y = 3x \] 2. Skate rental charges an additional \$[/tex]3:
[tex]\[ y = x + 3 \][/tex]
3. Jeff is 3 years less than Tony's age:
[tex]\[ y = x - 3 \][/tex]
1. Scenario: Marie buys balloons for a party that are \\[tex]$3.00 each. - Here, the total cost of the balloons (\(y\)) depends on the number of balloons (\(x\)) Marie buys, with each balloon costing \$[/tex]3.00.
- The equation representing this relationship is:
[tex]\[ y = 3x \][/tex]
2. Scenario: Skate rental charges an additional \\[tex]$3. - In this scenario, the total cost of renting skates (\(y\)) is given by the base cost (\(x\)), plus an additional fee of \$[/tex]3.
- The equation that describes this situation is:
[tex]\[ y = x + 3 \][/tex]
3. Scenario: Jeff is 3 years less than Tony's age.
- Here, Jeff’s age ([tex]\(y\)[/tex]) is described as being 3 years less than Tony’s age ([tex]\(x\)[/tex]).
- The equation that models this relationship is:
[tex]\[ y = x - 3 \][/tex]
Therefore, we have matched each scenario with its respective equation:
1. Marie buys balloons for a party that are \[tex]$3.00 each: \[ y = 3x \] 2. Skate rental charges an additional \$[/tex]3:
[tex]\[ y = x + 3 \][/tex]
3. Jeff is 3 years less than Tony's age:
[tex]\[ y = x - 3 \][/tex]