The cost for a business to make greeting cards can be divided into one-time costs, and repeated costs, suppose the total to make 300 cards is $900.00, and the total to make 650 is 1,600.00. what is the total cost to make 1,000 cards? round your answer to the nearest dollar a) 2,100.00 b) 2,300.00 c)2,500.00 d)3,000.00

(300,900),(650,1600)
slope = (1600 - 900) / (650 - 300) = 700/350 = 2

y = mx + b
slope(m) = 2
(300,900)...x = 300 and y = 900
sub and solve for b
900 = 2(300) + b
900 = 600 + b
900 - 600 = b
300 = b

so ur equation is : y = 2x + 300so ur 1 time cost is $ 300 and ur repeated cost is $ 2 per card (with x being the number of cards)

for 1000 cards...
y = 2(1000) + 300
y = 2000 + 300
y = 2300 <=== cost for 1000 cards

The amount used= 13.04- 1.9 = 11.14

Hello!

the answer is:

the correct option:

b.

why?

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!