Question

Use t = 4x + 1 to write the parametric equations that can represent y = 12x + 5.

Question 8 options:
a. x = t-1/4; y = 3t – 2
b. x = 4t – 1; y = 48t + 7
c. x = t-1/4 ; y = 3t + 2
d. x =t+1/4 ; y = 3t + 2

Answer 1

c. x = t-1/4 ; y = 3t + 2

Explanation:

Answer 2

Answer C:
`x=(t-1)/(4)` and
`y=3t+2`

Explanation:

Solve for x in the first equation given:

`t=4x+1\\t-1=4x\\(t-1)/(4) = x\\`

Now use this expression to replace x in terms of t in the second equation:

`y=12x+5\\y=12((t-1)/(4)) +5\\ y=3(t-1)+5\\y=3t-3+5\\y=3t+2`