Question

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

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

13 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 formula

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:

The average difference between his income and expenses each month is \(- 150\). This means, on average, Mr. Engle's expenses exceeded his income by \(\$150\) each month.