Answered

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1.It is a type of variation that deals with the property, as the value of x increases, y decreases, and vice versa. So, the equation y = k/x can be expressed as y varies inversely as x or y is inversely proportional to x. * 2 points
a. DIRECT
b. INVERSE
c JOINT
d COMBINED
2.It is a type of variation when one variable varies jointly as the product of two or more variables. Say for instance, y varies directly as x and z. This can be better written as y varies jointly as x and z. This mathematical statement means y = kxz. *

a.DIRECT
b.INVERSE
c.JOINT
d.COMBINED
3.The area of a rhombus varies jointly as the lengths of the diagonals. If a rhombus whose diagonals are 10 cm and 8cm long has an area of 40 cm squared. Find the area of the rhombus whose diagonals are 12 cm and 14 cm. *

a.168 cm squared
b.96 cm squared
c.84 cm squared
d.26 cm squared
4.A photocopy machine can finish 500 pages in 1 minute. How many books of 250 pages can the machine copy in 20 minutes?

a.20 BOOKS
b.30 BOOKS
c.40 BOOKS
d.50 BOOKS
5.In a balanced seesaw, the weight W varies inversely as the distance D from the fulcrum. If a weight of 90 lb placed 6 ft from the fulcrum, how far from the fulcrum on the other side must a weight 135 lb be placed in order to balance the seesaw? *
2 points
a.5 ft
b.4 ft
c.3 ft
d.2 ft
5
6.Your current monthly share s for renting an apartment unit varies inversely as the number of occupants n. If there are three students living in a unit and each student is sharing Php 2,500 for the rent, how much share would each one pay, if two more students will join the group next month?

a.500
b.100
c.1200
d.1500
7.If a varies jointly as b and c, and a =16 when b = 2 and c = 2. What is the value of a when b = 3 and c = 5? *
a.4
b.30
c.40
d.60
8.Your current monthly share s for renting an apartment unit varies inversely as the number of occupants n. If there are three students living in a unit and each student is sharing Php 2,500 for the rent, how much share would each one pay, if two more students will join the group next month?

a.500
b.100
c.1200
d.1500​

Sagot :

Sheenabetitaidn

Answer:

1. b

2. c

3. c

4. c

5. b

6. d

7. d

8. d

Solution:

3. a = kd1d2

   40 = k(10)(8)

   40 = 80k

   k = 0.5

a = 0.5(12)(14)

a = 84cm^2

4. [tex]\frac{500}{1} = \frac{x}{20}[/tex]

x = 10,000 pages in 20 minutes

1 book = 250 pages

10,000 pages/250 pages per book = 40 books

5. [tex]W = \frac{k}{D}[/tex]

 90 = [tex]\frac{k}{6}[/tex]

 k = 540

[tex]W = \frac{k}{D}[/tex]

[tex]135 = \frac{540}{D}[/tex]

135D = 540

D = 4 ft

6. [tex]s = \frac{k}{n}[/tex]

 [tex]2,500 = \frac{k}{3}[/tex]

k = 7,500

[tex]s = \frac{7,500}{5}[/tex]

s = 1,500

7.  a = kbc

 16 = k(2)(2)

 16 = 4k

 k = 4

 a = kbc

 a = 4(3)(5)

 a = 60

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