Answer:
2 pounds
Explanation:
The charge for both companies are modeled by the functions below:
• Company A: y=2x+3
,
• Company B: y=1.5x+4
When the charge of the two companies is the same, then:
[tex]2x+3=1.5x+4[/tex]
The equation is then solved for x:
[tex]\begin{gathered} 2x+3=1.5x+4 \\ \text{Subtract 3 from both sides} \\ 2x+3-3=1.5x+4-3 \\ 2x=1.5x+1 \\ \text{Subtract }1.5x\text{ from both sides} \\ 2x-1.5x=1.5x-1.5x+1 \\ 0.5x=1 \\ \text{ Divide both sides by }0.5 \\ \frac{0.5x}{0.5}=\frac{1}{0.5} \\ x=2 \end{gathered}[/tex]
The weight at which the charge in the two companies is the same is 2 pounds.
