Joe and Will both work as cooks at Burger Palace. Each prepares hamburgers at a different speed, as shown by the functions below: J(b) = 14b + 7 W(b) = 7b + 42 where b represents the number of hamburgers cooked and J(b) and W(b) represent the amount of time each cook takes in minutes. At what value of b will their cooking time be equivalent? A. B = 5 B. B = 19 C. B = 6 D. B = 12

A. B = 5

Step-by-step explanation:

Joe:

J(b) = 14b + 7

Will:

W(b) = 7b + 42

Where,

b = number of hamburgers cooked

J(b) and W(b) = amount of time each cook takes in minutes respectively

At what value of b will their cooking time be equivalent?

Equate both functions

Joe = Will

14b + 7 = 7b + 42

Collect like terms

14b - 7b = 42 - 7

7b = 35

Divide both sides by 7

b = 35 / 7

= 5

b = 5

The answer is

A. B = 5

.

step-by-step explanation:

.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is