Question

THIS IS A SUPER IMPORTANT TEST HELP!!!

Answer 1

Answer:

1. Equivalent: $p(1+0.20),\ 1.20p;$

2. Not equivalent: $2p+0.20,\ 0.80p,\ 2.20p,\ 1.02p.$

Step-by-step explanation:

Consider the expression $p+0.20p.$

Use the distributive property

$a\cdot (b+c)=a\cdot b+a\cdot c.$

Then

$p+0.20p=p\cdot 1+p\cdot 0.20=p\cdot (1+0.20)=p(1+0.20).$

Expression $p(1+0.20)$ is equivalent to the expression $p+0.20p.$

Since $1+0.20=1.20,$ then expression $p(1+0.20)=1.20p$  is equivalent to the expression $p+0.20p.$

All the rest expressions are not equivalent to the expression $p+0.20p.$