To find out how much Bailey will earn at his two jobs this week, we need to evaluate the expression \( 13c + 18t \) using the values \( c = 10 \) (hours as a cashier) and \( t = 12 \) (hours as a technology support specialist).
Substituting the values into the expression, we get:
\[ 13c + 18t = 13(10) + 18(12) \]
Now, calculate each term:
\[ 13(10) = 130 \] \[ 18(12) = 216 \]
Now, add these two amounts together:
\[ 130 + 216 = 346 \]
Therefore, Bailey will earn $346 at his two jobs this week.