Maria charges a $10 base fee, plus $15 per hour for babysitting. Which equation can be used to find h, the number of hours of babysitting that Maria will charge $160? Responses A 15h – 10 = 16015 h – 10 = 160 B 10h + 15 = 16010 h + 15 = 160 C (10 + 15)h = 160(10 + 15)h = 160 D 10 + 15h = 160

1 answer

To find the equation that represents the total charge for babysitting, we need to account for both the base fee and the hourly rate.

Maria charges a $10 base fee and $15 per hour for babysitting. If she is going to charge a total of $160, we can set up the equation as follows:

  1. Start with the base fee: $10
  2. For each hour of babysitting, she charges $15, which is represented by \(15h\), where \(h\) is the number of hours.

Thus, the total charge can be represented as:

\[ \text{Total charge} = \text{Base fee} + \text{Hourly charge} \]

This can be organized into the equation:

\[ 10 + 15h = 160 \]

Now, let's look at the provided responses:

  • A \( 15h - 10 = 160 \)
  • B \( 10h + 15 = 160 \)
  • C \( (10 + 15)h = 160 \)
  • D \( 10 + 15h = 160 \)

The correct equation is:

D \( 10 + 15h = 160 \)