Atable contains the ordered pairs (3,42.25) and (5,50.75 if the relationship in the table is linear, explain how to find the initial value

(0, 29.50)  

Step-by-step explanation:

y increases 8.50 units for every 2 units that x increases, or

y increases 4.25 units per unit of x.  

For the same reason, if we decrease x from 3 to 0 (3 units),

y decreases by 3 × 4.25 units = 12.75 units.

y = 42.25 - 12.75 = 29.50

The initial value is at (0, 29.50).

The graph below shows your two points and the line joining them extrapolated back to the initial value at (0, 29.50).

Step-by-step explanation:

If the relationship is linear, we can find the constant ratio of change with the given points.

Then, we use the point-slope formula to find the equation, which is gonna give us the initial value (constant term of the equation).

Therefore, the initial value is 29.5.

Remember that the constant term in the linear equation refes to the initial value of a problem. So, the plan is to find the equation to know the initial value.

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: