The function f(x) = 40sin(0.1x + 12) + 50 represents the number of items, f(x), made in a factory each day for x days. The data
used to generate the function was collected over 90 days.
Graph the model, and then use the graph to determine on which day each event occurred.
The first day production exceeds 70 items is day
The last day in the first cycle that production exceeds 70 items is day
.
Graph the model, and then use the graph to determine on which day each event occurred.
The first day production exceeds 70 items is day
The last day in the first cycle that production exceeds 70 items is day
.
2 answers:
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ANSWER:
Both functions have the same slope
The linear equation does not have a y-intercept
The table and the grahp express an equivalent function
STEP-BY-STEP EXPLANATION:
In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:
The formula to calculate the slope is the following:
The points are (-6, -9/2) and (4,3), replacing:
The slope is 3/4
Now, for b
x = 4
y = 3
m = 3/4
replacing:
The equation is:
Therefore, the true statements are:
• Both functions have the same slope
,• The linear equation does not have a y-intercept
,• The table and the grahp express an equivalent function