Problema Solution

Minimum Wage

The table shows the minimum wage for three different years.

Year 1940 1968 1997

Wage ($) 0.25 1.60 5.15

Source: Bureau of Labor Statistics.

(a) Make a scatterplot of the data in the viewing rectangle [1930, 2010, 10] by [0, 6, 1].

QUESTIONS TO ANSWER: b, c, d, and e

(b) Find a quadratic function given by ∫(x) = a(x – h)² + k

∫(x) = a(x – h)² + k that models the data.

(c) Estimate the minimum wage in 1976 and compare it to the actual value of $2.30.

(d) Estimate when the minimum wage was $1.00.

(e) If current trends continue, predict the minimum wage in 2009. Compare it to the projected value of $7.25.

Answer provided by our tutors

4.9/1.35 = (224409 - 114h)/ (109424 - 56h) 4.9(109424 - 56h) = 1.35(224409 - 114h) 536177.6 - 274.4h = 302952.15 - 153.9h - 274.4h + 153.9h = 302952.15 - 536177.6 -120.5h = -233225.45 h = -233225.45/-120.5 h = 1935.48