Answer:
[tex]\begin{gathered} 2a\text{. }W(T)=340+12.5T \\ 2b\text{. The bowl can hold 32 tablespoons of sugar.} \\ 2c\text{. 32 tablespoons of sugar represent point D on the graph.} \\ 2d\text{. About 21 tablespoons of sugar are left if the bowl weighs 600 grams.} \end{gathered}[/tex]
Step-by-step explanation:
This situation can be represented by a linear function since it has an initial value and it changes by a constant rate of change.
Linear functions are given as:
Let x be the number of tablespoons of sugar
2a.
[tex]\begin{gathered} W(T)=\text{initial weight+}(\text{rate of change)(tablespoons}) \\ W(T)=340+12.5T \end{gathered}[/tex]
2b. If the sugar bowl weighs 740 grams when it is full, then to determine the number of tablespoons of sugar, substitute W(T)=740 and solve for T.
[tex]\begin{gathered} 740=340+12.5T \\ 12.5T=740-340 \\ 12.5T=400 \\ T=\frac{400}{12.5} \\ T=32\text{ } \\ \text{ The bowl can hold 32 tablespoons of sugar.} \end{gathered}[/tex]
2c. By looking at the graph, we can see that at the x-axis, 32 tablespoons represent point D
2d. Now, to determine how many tablespoons are left if the weight is 600 grams. Substitute W(T)=600 as in point 2b.
[tex]\begin{gathered} 600=340+12.5T \\ 260=12.5T \\ T=\frac{260}{12.5} \\ T=20.8\approx21 \\ \text{ About 21 tablespoons of sugar are left if the bowl weighs 600 grams.} \end{gathered}[/tex]