Question

evaluate each expression if ( r = 12 ), ( s = - 4 ), and ( t = - 6 ).

1. ( r + s )
2. ( rs + 16 )
3. ( \frac { s - t } { 3 } )
4. ( \frac { 8 - r } { - 2 } )

the distance remaining for a road trip over several hours is shown in the table. use the information to find the constant rate of change in miles per hour.

1. justify conclusions last year, mr. engles total income was ( $ 52,000 ), while his total expenses were ( $ 53,800 ). use the expression ( \frac { i - e } { 12 } ), where ( i ) represents total income and ( e ) represents total expenses, to find the average difference between his income and expenses each month. then explain its meaning.

Explanation:

Step1: Substitute values into the expression

Substitute \(I = 52000\) and \(E = 53800\) into \(\frac{I - E}{12}\).

$$ \frac{52000 - 53800}{12} $$

Step2: Calculate the numerator

Calculate \(52000-53800=-1800\).

$$ \frac{- 1800}{12} $$

Step3: Divide

Divide \(-1800\) by \(12\).

$$ \frac{-1800}{12}=-150 $$

Answer:

\(-150\)