Question

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

1. ( r + s )
2. ( rs + 16 )
3. ( \frac{t - r}{3} )
4. ( \frac{s - t}{-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 the values into the expression

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

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

Step2: Calculate the numerator

$$ 52000-53800=-1800 $$

Step3: Divide the result by 12

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

Answer:

The value of the expression \(\frac{I - E}{12}\) is \(-150\). This means that, on average, Mr. Engle's expenses exceeded his income by \(\$150\) each month.