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Write an equation to model the situation and then find its intersection points to graph it.
We have the following information
We are preparing a fruit salad and we want the total carbohydrates from pineapple and watermelon to equal 24 grams. How can we show this combination with a graph? Well, let's make a plan!
The equation should give us the total amount of carbohydrates equal to 24 grams. Let x be the weight of pineapple and y be the weight of watermelon in ounces. We can use this information to write an equation.
In order to find reasonable domain and range, let's start with finding the intersection points of the equation. We can find the x-intercept by substituting 0 with y into the equation.
y= 0
Zero Property of Multiplication
.LHS /3.=.RHS /3.
The x-intercept is 8. We can find the y-intercept in the same way.
x= 0
Zero Property of Multiplication
.LHS /2.=.RHS /2.
We have found that the y-intercept is equal to 12. Since the minimum amount of pineapple and watermelon we can use is 0 grams, the domain and range will begin with zero grams and end with the intercepts. Domain:&[0,8] Range:&[0,12] Finally, let's graph the equation by plotting the intersection points and then connecting them.