Answer:
The problem implies that we want to write the (average) amount of natural sweeteners consumed per person as a function of time. Let y represent the (average) amount of natural sweeteners consumed per person (in pounds), and let x represent the time measured in years since 1990. That is, x = 0 represents 1990. If y is a linear function of x, then we can use the slope-intercept form y = mx + b (where m is the slope and b is the y-intercept) to write the function.
The slope can be interpreted as the rate of change of y with respect to x, which in this case means the change in consumption of natural sweeteners per year. The statement that consumption has decreased by 0.6 pounds per year tells us that the slope is m = -0.6 Also, the y-intercept is the same as the y-value of the function when x = 0. (In our case, that means time 0, that is, 1990.) Therefore the y-intercept is b = 133. Hope that helps! Let me know if you have any further questions.
Step-by-step explanation:
Answer:
22.5
Step-by-step explanation:
Answer:
1) 36 square units.
2) 190 square units.
Step-by-step explanation:
As you can see, the figures are trapezoids, therefore, you can calculate the area of each one of them with the following formula:
Where:
<em>B</em> is the longer base,<em> b</em> is the shorter base and <em>h</em> is the height.
Then:
1) 
2) 
Answer:
≈ 78.55 cm
Step-by-step explanation:
Using the ratio of arc (AB) to circumference (C) is equal to the ratio of angle subtended at centre by arc AB to 360°, that is
= 
, that is
= ( cross- multiply )
110C = 8640 ( divide both sides by 110 )
C = 
≈ 78.55 cm ( to 2 dec. places )
In a function, each input (x-) value has exactly one output (y-) value. That's not the case here, where we have (-4,5) and (-4,3) (two different y-values for one x-value). Eliminating either (-4,5) or (-4,3) will make this relation into a function.
