Answer:
[tex]k = 1[/tex]
Step-by-step explanation:
Given
[tex]y = kx^2[/tex]
Required
Find k, when: [tex]y=25;x=5[/tex]
We have:
[tex]y = kx^2[/tex]
Substitute 25 for y and 5 for x
[tex]25 = k * 5^2[/tex]
[tex]25 = k * 25[/tex]
Divide both sides by 25
[tex]\frac{25}{25} = \frac{k * 25}{25}[/tex]
[tex]\frac{25}{25} = k[/tex]
[tex]1 = k[/tex]
[tex]k = 1[/tex]
Hence; the value of k is 1
