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jenny is comparing the cost of two packages for socks 1 packages has eight pairs of socks for $12 another packages has three pairs of socks for $6 are the rates equivalent

jenny is comparing the cost of two packages for socks 1 packages has eight pairs of socks for 12 another packages has three pairs of socks for 6 are the rates e class=

Verified Answer :

hrishibalaji

Think about it like this. The rate is how much bang you're getting for your buck. In other words, how many pairs of socks are you getting for a given amount of money. 

Lets say I'm spending 12 dollars.

The first plan gives me 8 pairs. It's charging me 12/8 = 1.5 dollars for each pair of socks.

The second plan gives me 6 pairs. (3 pairs for 6 dollars, so if you double it then you get 6 pairs for 12 dollars). It's charging me 12/6 = 2 dollars for each pair of socks.

Since 2 > 1.5, I can say Plan 2 has a higher rate than Plan 1.

The rate for pair of socks can be calculated by dividing the packages of socks to the total cost of the socks.

The socks rate are not equal.

Given:

Cost for the 8 pairs of socks is \(12 \: \\).

Cost for the 3 pairs of socks is \(6\:\\).

Calculate the cost for the 1 pair of sock for first packages.

\(\rm {Cost\: for\: the\: 1\: pair\: sock}=\frac{x}{y}\)

Where,

\(x\) is total pair of socks

\(y\) is total cost.

\(\begin{aligned}\rm {Cost\: for\: the\: 1\: pair\: sock}=\frac{8}{12}\\=0.67\:\\\\end\)

Calculate the cost for the 1 pair of sock for second packages.

\(\rm {Cost\: for\: the\: 1\: pair\: sock}=\frac{x}{y}\)

Where,

\(x\) is total pair of socks

\(y\) is total cost.

\(\begin{aligned}\rm {Cost\: for\: the\: 1\: pair\: sock}=\frac{3}{6} \\=0.60\:\\\end\)

Thus, the rate for 1 pair of sock are different for each package.

Learn more about cost calculation here:

https://brainly.com/question/25450459

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