. In 1991 the federal minimum wage was $4.25. In 1997 the federal minimum wage was $5.15. Find the rate of change (slope) for the federal minimum wage between 1991 and 1997.*Hint: let 1991 and 1997 be the domain and let $4.25 and $5.15 be the range
how about just treating it like 2 ordered pairs
(1991, 4.25) and (1997, 5.15) ?
rate of change = (5.15-4.25)/(1997-1991)
= .15
To find the rate of change (slope) for the federal minimum wage between 1991 and 1997, we need to calculate the change in the range (wage) divided by the change in the domain (years).
Change in range = $5.15 - $4.25 = $0.90
Change in domain = 1997 - 1991 = 6
Now, divide the change in range by the change in domain to find the rate of change (slope):
Rate of change = Change in range / Change in domain
Rate of change = $0.90 / 6
To simplify, divide the numerator and denominator by 0.90:
Rate of change = $0.90 / 6
Rate of change = $0.15
Therefore, the rate of change (slope) for the federal minimum wage between 1991 and 1997 is $0.15 per year.
To find the rate of change (slope) for the federal minimum wage between 1991 and 1997, we will use the formula for slope:
slope = (change in y) / (change in x)
Here, the "change in y" represents the change in the federal minimum wage ($5.15 - $4.25) and the "change in x" represents the change in the years between 1991 and 1997 (1997 - 1991).
Let's calculate it step by step:
Change in y = $5.15 - $4.25 = $0.90
Change in x = 1997 - 1991 = 6
Now we can substitute the values into the slope formula:
slope = (change in y) / (change in x)
slope = $0.90 / 6
slope = $0.15
Therefore, the rate of change (slope) for the federal minimum wage between 1991 and 1997 is $0.15.