Math  /  Algebra

QuestionThe minimum hourly wage, yy (in dollars per hour), in a country can be approximated by the equation y=0.16x+2.63y=0.16 x+2.63. In this equation, xx represents the number of years since 1970 ( x=0x=0 represents 1970, x=5x=5 represents 1975, and so on).
Federal Minimum Hourly Wage by Year
Part 1 of 4 (a) Use the equation to approximate the minimum wage in the year 1975.
The minimum wage in 1975 was approximately $3.43\$ 3.43. \square
Part 2 of 4 (b) Use the equation to estimate the minimum wage in the year 1995.
The minimum wage in 1995 was approximately $6.63\$ 6.63.
Part: 2/42 / 4
Part 3 of 4 (c) Determine the yy-intercept. Interpret the meaning of the yy-intercept in the context of this problem.
The yy-intercept is \square \square . In the year \square the minimum wage was approximately $\$ \square per hour.

Studdy Solution
Determine and interpret the y y -intercept.
The y y -intercept occurs when x=0 x = 0 .
Substitute x=0 x = 0 into the equation:
y=0.16(0)+2.63 y = 0.16(0) + 2.63 y=2.63 y = 2.63
The y y -intercept is 2.63 2.63 .
Interpretation: In the year 1970, the minimum wage was approximately $2.63 \$2.63 per hour.

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