Question

(a) select the stories represented by this equation.
$26x - 13 = 247$
$square$carlos bought $x$ copies of a book online for $\\$26$ each copy. he also paid a shipping fee of $\\$13$ for the entire purchase. he spent a total of $\\$247$ including the shipping fee.
$square$carlos bought $x$ copies of a book online for $\\$26$ each copy. he then received a discount of $\\$13$ off the entire purchase. he spent a total of $\\$247$ after the discount.
$square$carlos bought 26 copies of a book for $x$ dollars each copy. he also paid a shipping fee of $\\$13$ for the entire purchase. he spent a total of $\\$247$ including the shipping fee.
$square$carlos bought 26 copies of a book for $x$ dollars each copy. he then received a discount of $\\$13$ off the entire purchase. he spent a total of $\\$247$ after the discount.
$square$none of the above

Explanation:

Step1: Analyze the first option

The first option says Carlos bought \( x \) copies at \$26 each and paid a shipping fee of \$13, with total \$247. The equation for this would be \( 26x + 13 = 247 \), which is not the given equation \( 26x - 13 = 247 \). So this option is incorrect.

Step2: Analyze the second option

The second option says Carlos bought \( x \) copies at \$26 each and received a discount of \$13, with total \$247 after discount. The cost of LXI1 copies is LXI2, and after subtracting the discount of \$13, we get \( 26x - 13 = 247 \), which matches the given equation. So this option is correct.

Step3: Analyze the third option

The third option says Carlos bought 26 copies at \( x \) dollars each and paid a shipping fee of \$13, with total \$247. The equation for this would be \( 26x + 13 = 247 \), which is not the given equation. So this option is incorrect.

Step4: Analyze the fourth option

The fourth option says Carlos bought 26 copies at \( x \) dollars each and received a discount of \$13, with total \$247 after discount. The equation for this would be \( 26x - 13 = 247 \), but the number of copies here is 26, not \( x \) as in the equation's \( 26x \) (where \( x \) is the number of copies). So this option is incorrect.

Answer:

Carlos bought \( x \) copies of a book online for \$26 each copy. He then received a discount of \$13 off the entire purchase. He spent a total of \$247 after the discount.