Gerald's Horse Supply Company charges $0.85 per pound to ship horse supplies. Part A: Write an equation to determine the total cost, c, to ship p pounds of horse supplies. Use your equation to determine the cost of shipping 2 pounds of horse supplies. (6 points)
Part B: If the company reduces the cost to ship horse supplies by $0.06 per pound, write an equation to determine the total cost, c, to ship p pounds of horse supplies with the reduced cost. (4 points)

c = $0.85p ; c = $1.7 ; c = 0.79p

Step-by-step explanation:

Given that :

Cost per pound for shipping (c) = $0.85

Number of pound of horse supply shipped = p

Total shipping cost = c

Thus, total shipping cost can be modeled as ;

Total shipping cost = ( cost per pound of shipping * number of pounds of supply shipped)

c = $0.85 * p ; c = $0.85p

Hence, total cost of shipping 2 pounds of horse supply ;

Number of pounds, p = 2

c = 0.85*2

c = $1.7

B.)

Shipping price per pound is reduced by $0.06

New shipping cost per pound = $0.85 - $0.06 = $0.79

Totak cost, c

c = 0.79p

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places