QuestionFind the first year when beer shipment change is $-34\%$ using $y=-3.7x+25.9$ . What does $-34\%$ represent? A. y B. slope C. y-intercept D. x

Studdy Solution

STEP 1

Assumptions1. The percent change in beer shipments is represented by the equation $y=-3.7 x+25.9$ . . The variable $x=7$ corresponds to the year2007.
3. The model remains accurate over time.
4. We are asked to find the first full year in which the percent change reaches $-34 \%$ .

STEP 2

The equation given represents a linear relationship between the year and the percent change in beer shipments. In this equation, $y$ represents the percent change, $x$ represents the year (with $x=7$ corresponding to2007), $-.7$ is the slope of the line (indicating the rate of change each year), and $25.9$ is the y-intercept (representing the percent change in the year when $x=0$ ).

STEP 3

We are asked to find the first full year in which the percent change reaches $-34 \%$ . This means we are given the value of $y$ and we need to find the corresponding value of $x$ .

STEP 4

So, the value $-34 \%$ represents the variable $y$ in the given equation.
The correct answer is A. The variable $y$ .

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