Manny has two part-time jobs. She earns $21 per hour (a) working as an aerobics instructor, and $12.50 per hour (d) working at the donut shop. Her earnings are represented by the expression 21a+12.50d . How much money will she earn working 4 hours as an aerobics instructor and 8 hours at the donut shop?(1 point) Responses $134 $134 $218 $218 $33.50 $33.50 $184

1 answer

To find out how much Manny will earn working 4 hours as an aerobics instructor and 8 hours at the donut shop, we can use the expression \(21a + 12.50d\), where \(a\) represents the hours worked as an aerobics instructor and \(d\) represents the hours worked at the donut shop.

Given:

  • \(a = 4\) (hours as an aerobics instructor)
  • \(d = 8\) (hours at the donut shop)

Now, we can calculate her earnings:

\[ Earnings = 21(4) + 12.50(8) \]

Calculating each part:

  1. For the aerobics instructor: \[ 21 \times 4 = 84 \]

  2. For the donut shop: \[ 12.50 \times 8 = 100 \]

Now, add the two amounts together:

\[ Earnings = 84 + 100 = 184 \]

Thus, Manny will earn $184.