Math

Question Find the values of yy for x=1,2,3x = 1, 2, 3 when the function is y=3x+4y = 3x + 4.

Studdy Solution

STEP 1

Assumptions
1. The function is linear and is given by y=3x+4y=3x+4.
2. We need to find the values of yy for x=1x=1, x=2x=2, and x=3x=3.

STEP 2

To find the value of yy when x=1x=1, we substitute x=1x=1 into the equation.
y=3(1)+4y = 3(1) + 4

STEP 3

Calculate the value of yy when x=1x=1.
y=31+4=3+4=7y = 3 \cdot 1 + 4 = 3 + 4 = 7

STEP 4

To find the value of yy when x=2x=2, we substitute x=2x=2 into the equation.
y=3(2)+4y = 3(2) + 4

STEP 5

Calculate the value of yy when x=2x=2.
y=32+4=6+4=10y = 3 \cdot 2 + 4 = 6 + 4 = 10

STEP 6

To find the value of yy when x=3x=3, we substitute x=3x=3 into the equation.
y=3(3)+4y = 3(3) + 4

STEP 7

Calculate the value of yy when x=3x=3.
y=33+4=9+4=13y = 3 \cdot 3 + 4 = 9 + 4 = 13
The values of yy are 77, 1010, and 1313 for x=1x=1, x=2x=2, and x=3x=3 respectively.

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