The weight of a piece of wire is directly proportional to its length. a piece of wire is 25 cm long and has a weight of 6 grams. another piece of the same wire is 30 cm long. calculate the weight of the 30 cm piece of wire p is inversely proportional to m. p = 48 when m = 9. calculate the value of p when m = 12

Let w be the weight of the wire and l be the length of the wire.

Now, we have been given that  weight of a piece of wire is directly proportional to its length. Thus, we have

, where k is constant.

Now, given that a piece of wire is 25 cm long and has a weight of 6 grams.

l= 25, w=6

Now, the length of the wire is 30 cm. Hence, we have

Second question:

Given that p is inversely proportional to m.

Now, p = 48 when m = 9

Now, we calculate the value of p when m = 12

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0