The bar graph below shows that as costs changed over the decades, a group of people devoted less of their budget to groceries. Percentage of Total Spending on Food 30- 25% 24- 19% 18- 12- 10% 6% 6- 1950 1970 1990 2010 In 1950, the group spent 25% of their budget on food. This has decreased at an average rate of approximately 0.32% per year since then. Find a linear function in slope-intercept form that models the percentage of total spending, p(x), by the group x years after 1950. Percent of Total Spending
Unitary Method
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Profit and Loss
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In 1950, the group spent
of their budget on food. This has decreased at an average rate of approximately
per year since then. Find a linear function in slope-intercept form that models the percentage of total spending, p(x), by the group x years after 1950.
From the graph, we can conclude that the average rate is decreasing (negative sign) approximately 0.32 % per year, so the slope is m = - 0.32
The equation in slope-intercept form, that model the percentage of total spendings p(x) by American x years after 1950 is:
p(x) = mx + b
Substituting m = -0.32,
We have:
p(x) = - 0.32x + b
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