Answer :
To solve this question, we must determine the total amount of money Cliff earns based on the number of hours he works and the number of televisions he sells.
1. Determine the hourly earnings:
- Cliff earns [tex]$15 for each hour he works. - If he works for \( h \) hours, his earnings from hours worked are \( 15h \). 2. Determine the commission earnings: - Cliff earns an additional $[/tex]10 for each television he sells.
- If he sells [tex]\( n \)[/tex] televisions, his commission earnings are [tex]\( 10n \)[/tex].
3. Combine the earnings:
- To find the total earnings, we sum the earnings from hours worked and the commission earnings.
- Therefore, the total earnings [tex]\( E \)[/tex] can be represented as:
[tex]\[ E = 15h + 10n \][/tex]
Now, let’s match our result to the given options:
- Option 1: [tex]\( 10h + 15n \)[/tex]
- Option 2: [tex]\( 15h + 10n \)[/tex]
- Option 3: [tex]\(\left(\frac{10+15}{2}\right)(h+n)\)[/tex]
- Option 4: [tex]\( 25(h+n) \)[/tex]
The correct formula that represents Cliff's total earnings is [tex]\( 15h + 10n \)[/tex]. Therefore, the correct answer is:
[tex]\[ \boxed{15h + 10n} \][/tex]
1. Determine the hourly earnings:
- Cliff earns [tex]$15 for each hour he works. - If he works for \( h \) hours, his earnings from hours worked are \( 15h \). 2. Determine the commission earnings: - Cliff earns an additional $[/tex]10 for each television he sells.
- If he sells [tex]\( n \)[/tex] televisions, his commission earnings are [tex]\( 10n \)[/tex].
3. Combine the earnings:
- To find the total earnings, we sum the earnings from hours worked and the commission earnings.
- Therefore, the total earnings [tex]\( E \)[/tex] can be represented as:
[tex]\[ E = 15h + 10n \][/tex]
Now, let’s match our result to the given options:
- Option 1: [tex]\( 10h + 15n \)[/tex]
- Option 2: [tex]\( 15h + 10n \)[/tex]
- Option 3: [tex]\(\left(\frac{10+15}{2}\right)(h+n)\)[/tex]
- Option 4: [tex]\( 25(h+n) \)[/tex]
The correct formula that represents Cliff's total earnings is [tex]\( 15h + 10n \)[/tex]. Therefore, the correct answer is:
[tex]\[ \boxed{15h + 10n} \][/tex]