Minimum Wage The table shows the minimum wage for three different years. Year 19
ID: 3104707 • Letter: M
Question
Minimum Wage
The table shows the minimum wage for three different years.
Year 1940 1968 1997
Wage($) 0.25 1.60 5.15
(a) Make a scatterplot of the data in the viewing rectangle [1930, 2010, 10] by [0, 6, 1].
(b) Find a quadratic function given by
f(x) = a(x-h)^2 + k that the 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.
Explanation / Answer
These are a lot of questions. I'll do the first one here. You can repost the remainder, and I'll be happy to answer them.
a) Draw a rectangle. The left bottom corner should say 1930 on the bottom, and 0 on the left side. The right bottom corner should say 2010 on the bottom. The left top corner should say 6 on the letf side.
Place seven tickmarks evenly spaced between 1930 and 2010, and label them by counting by 10s.
Label the left side minimum wage in dollars. Label the bottom years.
Place 5 tickmarks evenly between 0 and 6, and labvel them by counting by 1s.
Plot the points (1940, 0.25), (1968, 1.60), (1997, 5.15).
This is the right side of a parabola, whose equation is a quadratic function.