Match each scenario with the equation that models the word problem.

1. Marie buys balloons for a party that are [tex]\$3.00[/tex] each.
2. Skate rental charges an additional [tex]\$3[/tex].
3. Jeff is 3 years less than Tony's age.

A. [tex]y = 3x[/tex]
B. [tex]y = x + 3[/tex]
C. [tex]y = x - 3[/tex]



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]