Question

select all of the situations which can be represented by the expression 25.75x + 10
a. carol has $25.75. she earns $10.00 for each car that she washes
b. max has $10.00. he earns $25.75 for every lawn that he mows.
c. jin buys x postcards for $25.75 each and x keychains for $10.00 each
d. sasha sells a scarf for $10.00 and x jackets for $25.75 each
e. jon buys 10 toy cars for $25.75 each

Explanation:

Step1: Analyze Option A

Carol has $25.75 and earns $10 per car. The expression would be \(25.75 + 10x\), but the order of terms doesn't matter for the expression's meaning. Wait, no—wait, the expression is \(25.75x + 10\). In A, the fixed amount is $25.75 and the variable amount is \(10x\), so the expression would be \(25.75 + 10x\), which is equivalent to \(10x + 25.75\), not \(25.75x + 10\). So A is not correct.

Step2: Analyze Option B

Max has $10 and earns $25.75 per lawn. So total money is \(10 + 25.75x\), which is the same as \(25.75x + 10\) (addition is commutative). So B matches.

Step3: Analyze Option C

Jim buys \(x\) postcards at $25.75 each and LXI1 keychains at $10 each. So total cost is \(25.75x + 10x=(25.75 + 10)x = 35.75x\), which is not \(25.75x + 10\). So C is incorrect.

Step4: Analyze Option D

Sasha sells a scarf for $10 and LXI0 jackets at $25.75 each. So total revenue is \(10 + 25.75x\), which is \(25.75x + 10\). So D matches.

Step5: Analyze Option E

Jon buys 10 toy cars at $25.75 each. The expression would be \(25.75\times10\), which is a constant, not involving \(x\) as a variable. So E is incorrect.

Answer:

B. Max has $10.00. He earns $25.75 for every lawn that he mows.
D. Sasha sells a scarf for $10.00 and x jackets for $25.75 each.