Donna receives a $100 gift card to MovieStop. Her Blu-ray player is able to play both Blu-rays and DVDS, so she would like to get a combination of both. Each Blu-ray cost $25.99 and DVDs cost $15.99 each. Write an equation modeling the number of Blu-rays, b, and DVDs, d, that Donna can purchase with her gift card.

y = 0.77(x)

step-by-step explanation:

the jacket retains this value after 23% cut or retains 77% of original value. plug original 87 jacket price for x and the remaining value should be y.

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.