The cost of two walnuts varies proportionality with weight
a two pound bag costs $5
a five pound bag costs $12.50
write an equation that describes the relationship between w, the weight in pounds of the walnuts and c, cost in dollars

ANSWER:  

The cost of two walnuts varies proportionality with weight.The equation is c = 2.5w

SOLUTION:

Given, the cost of two walnuts varies proportionality with weight a two pound bag costs $5, a five pound bag costs $12.50.

Let the proportionality constant be x.

According to the given information,

c = xw --- (1)

Where, c is cost in dollars.

x is proportionality constant

w weight of walnuts in pounds

Given that, a two pound bag costs $5  

Here, c = 5 and w = 2

So, substitute above values in (1)

5 = x(2)

x =

x = 2.5

We have another case also, so let us check it also.

A five pound bag costs $12.50

Here, c = 12.50 and w = 5

So, substitute above values in (1)

12.5 = x(5)

x = = 2.5

So the value of proportionality constant is 2.5

Hence, the equation is c = 2.5w

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.