1. The table has a constant of proportionality of 4, therefore, the perimeter and side length of squares are proportional.
2. Equation for the proportion is, y = 4x.
Perimeter = 48 cm.
<h3>What is the Equation of a Proportional Relationship?</h3>
The equation that defines a proportional relationship is, y = kx, where k is the constant of proportionality between variables x and y.
1. For the table given:
y = perimeter
x = side length
k = constant of proportionality = 8/2 = 16/4 = 24/6 = 4.
Since k is the same all through, the equation can be modelled as y = 4x, which means the perimeter and side length of squares are proportional.
2. Using the equation, y = 4x,the perimeter (y) of a square when its side length is 12 (x) is:
y = 4(12)
y = 48 cm.
The perimeter (y) of the square is: 48 cm.
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Answer: $585.60
Step-by-step explanation:
The number of years that would have passed is;
= 2016 - 1626
= 390 years
Using simple interest, the investment will be worth;
= Principal * ( 1 + rate * number of years)
= 24 * (1 + 0.06* 390)
= $585.60
Slope = (-8 - 4)/(-4 -0) = -12/-4 = 3
y-intercept so b = 4
equation: y = 3x + 4
answer: <span>C. y = 3x + 4</span>
Step-by-step explanation:
step 1. graph f(x) = 2x + 6
step 2. y = mx + b. (slope intercept form)
step 3. b = 6 which is the y intercept so put a dot on (0, 6) or on the y axis at 6
step 4. m = 2 so put another dot up 2 and over to the right 1 from the y intercept
step 5. draw a line through your 2 points and you are done.
