Question

I need help with this question, I'll post it as a photo, there is two parts of the photo.

Answer 1

11.

11. a

Let:

Ch be the cost of Hain's purchase;

The cost will be the price of each item multiplied by the amount of each item that was purchased.

$\begin{gathered} Ch=6\cdot x+5\cdot2 \\ Ch=6x+10 \end{gathered}$

11. b

Let:

Cb be the cost of Bill's purchase;

Cr be the cost of Raj's purchase;

Ct the cost of the purchase of Bill and Raj together.

Each one bought 1 baseball and x pairs of sweat socks. Then:

$\begin{gathered} Cb=Cr=1\cdot5+x\cdot3 \\ Cb=Cr=5+3x \\ \end{gathered}$

The cost of the purchase of Bill and Raj together is:

$\begin{gathered} Ct=Cb+Cr=5+3x+5+3x \\ Ct=10+6x \end{gathered}$

12.

Equation from 11a: C = 6x +10

Equation from 11b: C = 10 + 6x

Equivalent linear equations are equations that have the same value. So, if x is the same, they will have the same output.

For this reason, the expressions are equivalent.

13.

According to Mateus, the price of the soccer ball is 1 1/5 the price of the baseball.

Let's check.

Price of soccer ball = Ps

Price of baseball = Pb

$Ps=(1\frac{1}{5})\cdot Pb$

That means,

$Ps=1Pb+\frac{1}{5}Pb$

Knowing Pb = 5:

$\begin{gathered} Ps=1\cdot5+\frac{1}{5}\cdot5 \\ Ps=5+\frac{5}{5} \\ Ps=5+1=6 \end{gathered}$

Since the soccer ball costs 6, Mateus is right.