Question

Using the information in the table, create three equivalent expressions for the total amount of money you can allocate for these expenses, where p represents the number of people and d represents the number of days. The table shows how you plan to budget for your daily activities on the trip.

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Equivalent expressions are expressions with the same value. The following expressions are equivalent

• $p =5d + 10$.
• $2p = 10d +10$.
• $p - 5 = 5d + 5$

The table of values is not given; so, I will answer the question with the following table of values of a linear function.

$\left[\begin{array}{cccccc}d&1&2&3&4&5\\p&15&20&25&30&35\end{array}\right]$

First, calculate the slope (m)

$m = \frac{p_2 - p_1}{d_2 - d_1}$

So, we have:

$m = \frac{20 - 15}{2 - 1}$

$m = \frac{5}{1}$

$m=5$

The equation is then calculated as:

$p =m(d - d_1) + p_1$

This gives:

$p =5(d - 1) + 15$

Open brackets

$p =5d - 5 + 15$

$p =5d + 10$

To get an equivalent expression, we must perform the same operation on both sides of the equation.

Multiply both sides of $p =5d + 10$ by 2

$2 \times p =(5d + 10) \times 2$

$2p = 10d +10$

Subtract 5 from both sides of $p =5d + 10$

$p - 5 = 5d + 10 - 5$

$p - 5 = 5d + 5$

Hence, the equivalent expressions are:

• $p =5d + 10$.
• $2p = 10d +10$.
• $p - 5 = 5d + 5$

Read more about equivalent expressions at:

brainly.com/question/21213498