Translate to an equation:
r $2 roses and t $2.50 tulips total $30
graph the equation and use the graph to determie three different combinations of roses and tulips that total $30.
The subject is not college, nor at college level.
2r + 2.5 t = 30
Plot that straight line in a x,t coordinate graph.
Draw straight vertical ines from three x values of your choice and see at what t values the vertical line is intersected by the 2r + 2.5 t = 30 line.
To translate the given statement into an equation, we can assign variables to represent the number of roses and tulips, respectively.
Let's say r represents the number of roses, and t represents the number of tulips. Since each rose costs $2 and each tulip costs $2.50, the equation can be written as:
2r + 2.50t = 30
Now, let's graph this equation to find three different combinations of roses and tulips that total $30.
To graph this equation, we need to assign the r-axis and t-axis to represent the number of roses and tulips, respectively. Choose appropriate intervals for the axes based on the expected values of r and t. For example, let's use increments of 5 for both axes.
Plotting the three different combinations:
Combination 1: Let's say r = 10 and t = 8. Substituting these values into the equation:
2(10) + 2.50(8) = 20 + 20 = 40
Since this combination results in a total of $40 (greater than $30), let's try another combination.
Combination 2: Let's say r = 5 and t = 10. Substituting these values:
2(5) + 2.50(10) = 10 + 25 = 35
Again, this combination gives us a total of $35 (greater than $30). Let's try one more combination.
Combination 3: Let's say r = 12 and t = 4. Substituting:
2(12) + 2.50(4) = 24 + 10 = 34
Once again, this combination results in a total of $34 (greater than $30).
From the graph, we can see that there are no combinations of roses and tulips that exactly total $30. The closest combinations we found were $35, $34, and $40.