Answered

1 A teacher charges Php 300 per hour of tutorial service to a Grade 9 student. If she spends 3 hours tutoring per day, how much would she receive in 20 days?

2.The area A of a triangle varies jointly as the base b and the altitude h of the triangle. If A = 65 cm' when b- 10 cm and h - 13 cm, find the area of a triangle whose base is 8 cm and whose altitude is 11 cm Make your own example of a problem showing relation of quantities. Decide whether the problem is a direct variation, inverse 15​

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Alyzanobogviz

Answer:

1.

Formula:

[tex]p = kdh[/tex]

[tex]k = \frac{ph}{d} [/tex]

P1= 300 P2=?

H1=1 H2=3

D1=1 D2=20

Find (K) first to solve the problem:

Use the formula:

[tex]k = \frac{ph}{d} \\k = \frac{(300)(1)}{(1)} \\ k = 300 \\ now \: replace \: (k) \: by \: 300[/tex]

Then Use the formula p=kdh

Replace all the letters

[tex]p = kdh \\ p = (300)(20)(3) \\ p = 18000[/tex]

If she spend 3 hoursa day, in 20 days she will earn 18 000 pesos

2.

Formula:

[tex]a = kbh[/tex]

A1= 300 A2=?

b1=1 b2=3

h1=1 h2=20

Fin (k) first to solve the problem

[tex]a = kbh \\ 65 = (10)(13)(k) \\ \frac{65}{130} = \frac{130k}{130} \\ \frac{65}{130} = k \\ \frac{1}{2} = k \\ k = 0.5 \\ now \: replace \: (k) \: by \: 0.5[/tex]

Then continue to find the answer

Replace all the letters

[tex]a = (0.5)(8)(11) \\ a = (4)(11) \\ a = 44[/tex]

then 44cm² is the area of the triangle