Answer:
y = 9
Step-by-step explanation:
Given y is directly proportional to (x - 1)² then the equation relating them is
y = k(x - 1)² ← k is the constant of proportionality
To find k use the condition x = 5 when y = 4
k = [tex]\frac{y}{(x-1)^2}[/tex] = [tex]\frac{4}{4^2}[/tex] = [tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex], thus
y = [tex]\frac{1}{4}[/tex](x - 1)² ← equation of proportion
When x = 7, then
y = [tex]\frac{1}{4}[/tex] × 6² = [tex]\frac{1}{4}[/tex] × 36 = 9
The value of y is 9 when the value of x is 5.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that y is directly proportional to (x - 1)² then the equation relating them is
y = k(x - 1)² k is the constant of proportionality
To find k use the condition x = 5 when y = 4
k = y / ( x - 1 )² = 4 / 4² = 1 / 4
y = (x - 1)² equation of proportion
When x = 7, then
y = ( 1 / 4) × 6² = ( 1 / 4 ) × 36 = 9
Therefore, the value of y is 9 when the value of x is 5.
To know more about expression follow
https://brainly.com/question/723406
#SPJ2
