Question

jose can use the rule ( m(x) = 10 + 3x ) to find ( m(x) ), the amount of money he will have after a week of doing ( x ) additional hours of chores. evaluate ( m(20) ). what does this mean? ( m(20) = ) 70 a after working blank b additional hours, jose will earn blank c dollars.

Explanation:

Step1: Substitute x with 20 in the function

We have the function \( m(x) = 10 + 3x \). To find \( m(20) \), we substitute \( x = 20 \) into the function. So we get \( m(20)=10 + 3\times20 \).

Step2: Calculate the value

First, calculate the multiplication part: \( 3\times20 = 60 \). Then, add 10 to the result: \( 10+60 = 70 \).

For the meaning part, in the function \( m(x) \), \( x \) represents the number of additional hours of chores, and \( m(x) \) represents the amount of money. So when \( x = 20 \), it means after working 20 additional hours, Jose will earn 70 dollars.

Answer:

\( m(20)=\boldsymbol{70} \)

After working \(\boldsymbol{20}\) additional hours, Jose will earn \(\boldsymbol{70}\) dollars.