A blue candle and red candle are lit at the same time but burn at different rates. The blue candle is 6.5 inches long when lit and burns at a constant rate of 0.55 inches per hour. The red candle is 5.8 inches long when lit and burns at a constant rate of 0.3 inches per hour. The function b gives the length of the blue candle in inches, b ( t ) , as a function of the number of hours t since the candles were lit. The function r gives the length of the red candle in inches, r ( t ) , as a function of the number of hours t since the candles were lit. Write function formulas for b and r .

Function formula for b(t) = 6.5 + 0.55t

Function formula for r(t) = 5.8 + 0.3t

Step-by-step explanation:

As given,

For b(t) - Blue candle

Length of blue candle = 6.5 inches

Burn rate = 0.55 inches per hour

Now,

b(t) = Burn rate × Time + Length

⇒b(t) = 0.55t + 6.5

∴ we get

Function formula for b(t) = 6.5 + 0.55t

For r(t) - Red candle

Length of red candle = 5.8 inches

Burn rate = 0.3 inches per hour

Now,

r(t) = Burn rate × Time + Length

⇒r(t) = 0.3t + 5.8

∴ we get

Function formula for r(t) = 5.8 + 0.3t

ab: 2 n83b8eb7ebi. 8e yen in

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.