Question

Vicki and Tamra are working on their math homework together. Vicki has worked p problems, and Tamra has worked 3 times as many problems as Vicki. The expression shows how many problems they have worked altogether. Which of the following is another expression that could be used to get the same result, and what does it represent? A. p + 3. This represents that Vicky and Tamra have worked on p + 3 problems altogether. B. 4p. This represents that Vicky and Tamra have worked on 4p problems altogether. C. p + 4. This represents that Vicky and Tamra have worked on p + 4 problems altogether. D. 4p2. This represents that Vicky and Tamra have worked on 4p2 problems altogether.

Answer 1

Let's first analyze the situation:

- Vicki has worked **p** problems.
- Tamra has worked **3 times** as many problems as Vicki, which means she has worked **3p** problems.

To find the total number of problems they have worked together, we add Vicki's problems and Tamra's problems:

Total problems = Vicki's problems + Tamra's problems = **p + 3p = 4p**.

Now, let's evaluate the options:

A. **p + 3** - This represents that Vicki and Tamra have worked on **p + 3** problems altogether. This is incorrect since the total is actually **4p**.

B. **4p** - This represents that Vicki and Tamra have worked on **4p** problems altogether. This is correct and matches our calculation.

C. **p + 4** - This represents that Vicki and Tamra have worked on **p + 4** problems altogether. This is incorrect since the total is **4p**, not **p + 4**.

D. **4p²** - This represents that Vicki and Tamra have worked on **4p²** problems altogether. This is incorrect since the total is **4p**, not **4p²**.

Based on this analysis, the correct option is **B. 4p**.