Question

which situation could be represented by the following equation?
2x + 3 = 19

○ jenna bought three shirts, each costing $x, and saved $2 with a coupon. she spent a total of $19.
○ jenna bought two shirts, each costing $x, and saved $3 with a coupon. she spent a total of $19.
○ jenna bought three shirts, each costing $x, and a hat for $2. she spent a total of $19.
○ jenna bought two shirts, each costing $x, and a hat for $3. she spent a total of $19.

Explanation:

To determine which situation matches the equation \(2x + 3 = 19\), we analyze each option:

1. First option: If Jenna bought 3 shirts at $x each and saved $2, the equation would be \(3x - 2 = 19\) (since saving reduces the total spent), which does not match \(2x + 3 = 19\).

1. Second option: If she bought 2 shirts at $x each and saved $3, the equation would be \(2x - 3 = 19\) (saving reduces the total), which is not the given equation.

1. Third option: If she bought 3 shirts at $x each and a hat for $2, the equation would be \(3x + 2 = 19\), which does not match \(2x + 3 = 19\).

1. Fourth option: If she bought 2 shirts at $x each and a hat for $3, the total cost is the cost of the shirts (\(2x\)) plus the cost of the hat (\(3\)), so the equation is \(2x + 3 = 19\), which matches the given equation.

Answer:

Jenna bought two shirts, each costing \$x, and a hat for \$3. She spent a total of \$19.