Question

1 multiple choice 2 points which value of p is the solution of 5p - 1 = 2p + 20? 2 multiple choice 2 points rebecca sells designer t - shirts. during the first 2 months of her business, she adjusted the price of the shirts each week to find the price that would maximize her profit. as expected, she found that the higher the price, the fewer t - shirts she sold. which scatterplot reflects her data?

Explanation:

Step1: Move like - terms to one side

Subtract \(2p\) from both sides of \(5p - 1=2p + 20\), we get \(5p-2p - 1=2p-2p + 20\), which simplifies to \(3p-1 = 20\).

Step2: Isolate the variable term

Add 1 to both sides: \(3p-1 + 1=20 + 1\), so \(3p=21\).

Step3: Solve for \(p\)

Divide both sides by 3: \(\frac{3p}{3}=\frac{21}{3}\), then \(p = 7\).

Answer:

D. 7

For the second - part (scatter - plot question), since the higher the price, the fewer t - shirts sold, there is a negative correlation. The scatter - plot with points showing a downward trend from left to right reflects this negative correlation. But since no specific options are fully described in text, we focus on answering the first part completely.