Question

determine the correct equation for the following verbal sentence: the total monthly earnings, t, equals $18 times the number of hours worked, h. a. t = 18 c. t = 18h b. t = 18 + h d. t = 18 - h please select the best answer from the choices provided a b c d

Explanation:

Step1: Analyze the verbal sentence

The total monthly earnings \( t \) is equal to \(\$18\) times the number of hours worked \( h \). "Times" in math means multiplication. So we need to multiply 18 by \( h \) to get \( t \).

Step2: Match with the options

• Option a: \( t = 18 \) means earnings are always 18, not related to hours worked, so incorrect.
• Option b: \( t = 18 + h \) is addition, not multiplication, so incorrect.
• Option c: \( t = 18h \) is 18 multiplied by \( h \), which matches the verbal sentence.
• Option d: \( t = 18 - h \) is subtraction, not multiplication, so incorrect.

Answer:

C. \( t = 18h \)