Gladys has just purchased a new home. The house was priced at $105,000, and she chose a 40-year mortgage at 5.2%. What will her
2 answers:
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This is a problem of fact families, but <em>what is fact families?</em> Well it is a family of four things. Two of them are additions and two of them are subtractions. So this question asks about fact families by w<span>riting the <em>subtraction fact two ways</em>. So we have:
</span><span>
First way. So let's take the number 10 and explain this problem using triangles. Let's say that we have 10 triangles in the beginning:
</span>Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ
So I want to take away 3 triangles, then by taking away 3<em> what is left? </em>Well the answer is 7:
Δ Δ Δ Δ Δ
Δ Δ
That is, if we subtract 3 from 10 then the result is:
Second way. In this subtraction we take the same 10 triangles:
Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ
Now I want to take away 7 triangles, then by taking away 7 what is left is 3:
Δ Δ Δ
That is, if we subtract 7 from 10 then the result is:
</span><span>
First way. So let's take the number 10 and explain this problem using triangles. Let's say that we have 10 triangles in the beginning:
</span>Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ
So I want to take away 3 triangles, then by taking away 3<em> what is left? </em>Well the answer is 7:
Δ Δ Δ Δ Δ
Δ Δ
That is, if we subtract 3 from 10 then the result is:
Second way. In this subtraction we take the same 10 triangles:
Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ
Now I want to take away 7 triangles, then by taking away 7 what is left is 3:
Δ Δ Δ
That is, if we subtract 7 from 10 then the result is:
Vă rugăm să găsiți imaginea întrebării atașate mai jos:
Răspuns:
A este proporțională
B este proporțională
C nu este proporțional
D este proporțional
E nu este proporțională
F este proporțional
Explicație pas cu pas:
Pentru a determina proporționalitatea:
Obținem constanta proporționalității
Pentru valorile din tabelul 1;
Luând primul punct:
x = 1; y = 5
1 α 5
1 = 5k
k = 1/5
Test:
y = 15
x = k * y
x = 1/5 * 15; x = 3
Prin urmare; (a) este proporțională
B.)
x = 2; y = 6
2 α 6
2 = 6k
k = 2/6
k = 1/3
Test:
y = 15
x = k * y
x = 1/3 * 15; x = 5
Prin urmare; (b) este proporțională
C.)
x = 2; y = 6
7 α 3,5
7 = 3,5k
k = 7 / 3,5
k = 2
Test:
y = 5
x = 2 * 3.5
x = 7
Prin urmare; (c) nu este proporțională
x = 0,5; y = 1
0,5 α 1
0,5 = k
Test:
y = 4
x = k * y
x = 0,5 * 4; x = 2
Prin urmare; (d) este proporțională
x = 0,2; y = 2
0,2 α 2
0,2 = 2k
k = 0,2 / 2
k = 0,1
Test:
y = 4,5
x = 0,1 * 4,5
x = 0,45
Prin urmare; (e) nu este proporțională
x = 1; y = 12
1 α 12
1 = 12k
k = 1/12
Test:
y = 84
x = 1/12 * 84
x = 7
Prin urmare; (f) este proporțională
