Sure, let's solve this problem step-by-step.
Harriet's total gross pay after 7 workdays is given by the expression [tex]\(35h + 56\)[/tex] dollars. We need to find out how much she earns each day.
Step 1: Identify the total gross pay.
The expression for Harriet's total gross pay after 7 workdays is:
[tex]\[ 35h + 56 \][/tex]
Step 2: Determine the number of days worked.
Harriet has worked for 7 days.
Step 3: Find the daily gross pay.
To find the daily gross pay, we need to divide the total gross pay by the number of workdays. This means we need to divide the entire expression by 7.
Step 4: Divide each term in the expression by 7.
[tex]\[ \frac{35h}{7} + \frac{56}{7} \][/tex]
Step 5: Simplify each term separately.
[tex]\[ \frac{35h}{7} = 5h \][/tex]
[tex]\[ \frac{56}{7} = 8 \][/tex]
Step 6: Combine the simplified terms to form the expression for the daily gross pay.
[tex]\[ 5h + 8 \][/tex]
Therefore, the daily gross pay for Harriet is represented by the expression [tex]\(5h + 8\)[/tex].
Among the available options, the correct expression representing Harriet's gross pay each day is:
[tex]\[ 5h + 8 \][/tex]
