determining the effect of a new initial value\nscience\njennas science teacher changed the number of…
determining the effect of a new initial value\nscience\njennas science teacher changed the number of assignments for the semester to 85. this is shown as the blue line on the graph.\nhow many more weeks will it take jenna to complete all the assignments if she completes assignments at the same rate?\nmore weeks
Answer
Answer:
3
Explanation:
Step1: Find the rate of completing assignments
First, find the rate using the points $(3,55)$ and $(6,40)$. The rate $r=\frac{55 - 40}{6 - 3}=\frac{15}{3}=5$ assignments per week.
Step2: Find the time to complete the original number of assignments
From the point $(3,55)$, assume the original number of assignments $y$ can be modeled by a linear - relationship. If at week $3$ there are $55$ assignments left, and the rate is $5$ assignments per week, the original number of assignments is $y=55 + 3\times5=70$.
Step3: Find the time to complete the new number of assignments
The new number of assignments is $85$. The time $t_1$ to complete $70$ assignments at a rate of $5$ assignments per week is $t_1=\frac{70}{5}=14$ weeks. The time $t_2$ to complete $85$ assignments at a rate of $5$ assignments per week is $t_2=\frac{85}{5}=17$ weeks.
Step4: Calculate the additional weeks
The additional weeks $=t_2 - t_1=17 - 14 = 3$ weeks.