Final answer:
The correct algebraic expression to represent the total amount of donations Alex collects for the read-a-thon, with $5 already collected and 2 sponsors pledging $4 plus $2 for each book he reads, is 5 + 8x. This corresponds to the donations from both sponsors to be considered in the equation, which is option (d).
Step-by-step explanation:
The subject of this question is to determine the correct algebraic expression for the total amount of donations Alex collects for the read-a-thon. According to the problem, Alex already has $5, and for each book he reads, each of his 2 sponsors will donate $4 plus an additional $2. Therefore, for each book Alex reads, he receives 2 times the sum of $4 and $2. The linear equation representing this situation will be:
Total Donations = Initial Amount + (Number of Sponsors × (Fixed Donation + Variable Donation per Book × Number of Books))
Total Donations = $5 + (2 × ($4 + $2 × Number of Books))
If we let 'x' represent the number of books Alex reads, then we simplify the equation to:
Total Donations = $5 + 4x + 4x or Total Donations = $5 + 8x
Therefore, the correct algebraic expression is represented by 5 + 8x, which matches option (d).