## Answer :

1.

**Calculate the earnings on Friday night:**

Leticia charges \[tex]$8 per hour. She babysat for 4 hours on Friday night. \[ \text{Earnings on Friday} = 8 \, \text{dollars/hour} \times 4 \, \text{hours} = 32 \, \text{dollars} \] 2.

**Calculate the earnings on Saturday:**Leticia earned a total of \$[/tex]72 from babysitting on both Friday and Saturday. To find her earnings on Saturday, subtract her Friday earnings from the total earnings.

[tex]\[ \text{Earnings on Saturday} = 72 \, \text{dollars} - 32 \, \text{dollars} = 40 \, \text{dollars} \][/tex]

3.

**Calculate the number of hours she worked on Saturday:**

We know she earns \$8 per hour. To find the number of hours she worked on Saturday, divide her Saturday earnings by her hourly rate.

[tex]\[ \text{Hours on Saturday} = \frac{40 \, \text{dollars}}{8 \, \text{dollars/hour}} = 5 \, \text{hours} \][/tex]

4.

**Write the equation that models this situation:**

Let [tex]\( x \)[/tex] be the number of hours Leticia babysat on Saturday. Her total earnings can be expressed as follows:

[tex]\[ 8 \, \text{dollars/hour} \times (4 \, \text{hours} + x) = 72 \, \text{dollars} \][/tex]

Simplifying this, we get the equation:

[tex]\[ 8(4 + x) = 72 \][/tex]

Thus, the correct equation is [tex]\( 8(4 + x) = 72 \)[/tex] and the number of hours Leticia babysat on Saturday is 5 hours.

So, the correct answers are:

B. Equation: [tex]\(8(4 + x)=72\)[/tex]

D. Answer: 5 hours