Learning Task 3A. Identify if the given equation is direct, inverse, joint or co...

Questions

anthonyjohnguevarra3 @anthonyjohnguevarra3

September 2022 1 1 Report

Learning Task 3

A. Identify if the given equation is direct, inverse, joint or combined variation with k as the constant of variation

B. Write the equation of variation and solve for the constant of variation

Answers & Comments

brainlymomshie

Verified answer

Variations

Differences or deviations from the recognized norm or standard. May be a modification in structure. Form or function in an organism, deviating from other organisms of the same species or group. The changing of variable parameters is called as variation. In problems relating to two or more variables, it is seen that the value of a variable changes with the change in the value ( or values ) of the related variable (or variables).

Learning Task 3:

Answers:

direct
joint
combined
combined
joint

q = kp² ; k = 7
p = $\frac{k}{q}$ ; k = 48
p = $\frac{k}{q}$ ; k = 48
p = kq ; k = 3

Solutions:

1. When one quantity changes, the other quantity also changes in direct variation. An increase in the quantity b leads to an increase in quantity d and vice versa, provided their respective ratios are the same. The methods to solve direct variation problems are tabular and unitary method. b = kd, where k is the constant of proportionality. The direct variation graph is a line through the origin.

2. y varies directly with the joint value of l and m.

3. m varies directly with n and inversely with p which makes it a combined variation.

4. a varies directly with c and inversely with b which makes it a combined variation.

5. the product of m and n varies directly with the product of p and q which makes it a joint variation.

1. Given: p = 1

q = 7

Find the equation.

q = kp²

Find k.

q = kp²

7 = k(1)²

7 = 1k