Noah’s Café sells special blends of coffee mixtures. Noah wants to create a 20-pound mixture with coffee that sells for $9.20 per pound and coffee that sells for $5.50 per pound. How many pounds of each mixture should he blend to create coffee that sells for $6.98 per pound? a 10 pounds of the $5.50-per-pound coffee, 10 pounds of the $9.29-per-pound coffee b 15 pounds of the $5.50-per-pound coffee, 5 pounds of the $9.20-per-pound coffee c 12 pounds of the $5.50-per-pound coffee, 8 pounds of the $9.20-per-pound coffee d 8 pounds of the $5.50-per-pound coffee, 12 pounds of the $9.29-per-pound coffee

c 12 pounds of the $5.50-per-pound coffee, 8 pounds of the $9.20-per-pound coffee

Step-by-step explanation:

Let x = Number of pound of first king.

y= Number of pound of second kind.

As per given , we have

substitute value of y from (i) in (ii), we get

Put this in (i), we get y= 20-8 = 12

Hence,  he should blend 12 pounds of the $5.50-per-pound coffee, 8 pounds of the $9.20-per-pound coffee.

So the correct option is c.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0