I have tried to solve the attached problems however I am not coming up with the selected choices indicated on the work sheet. Need your assistance. Please explain the steps to solve. Thanks.

1. A biologist recorded 6 snakes on 10 acres in one area and 13 snakes on 29 acres in another area. Let y be the number of snakes in x acres. Write an equation for the number of snakes.

a. y=x+4
b. 19y = 7x+4
c. 19y=7x+44
d. 19y=7x-44

2. Suppose a life insurance pplicy cost $24 for the first unit of coverage and then $6 for each additional unit of coverage. Let C(x) be the cost for insurance of x units of coverage. What will 10 unit of coverage cost?

a. $84
b. $36
c. $78
d. $60

3. In deciding whether or not to set up a new manufacturing plant, analysis for a popcorn company have decided that a linear function is a reasonable estimation for the total cost C(x) in dollars to produce x bags of microware popcorn. They estimate the cost to produce 10,000 bags as $5010 and the cost to produce 15,000 bags as $7770. Find the marginal cost of the bags of microwave popcorn to be produced in the plant.

a. $2760
b. $0.552
c. $5.52
d. $55.2

4. A ball is thrown vertically upward at an initial sped of 64ft/sec. Its height (in feet) after t seconds is given by: h(t)=t(64-16t). After how many seconds does the ball reach its maximum height:

a. 8 seconds
b. 2 seconds
c. 4 seconds
d. 2.67 seconds

... 9. Solve the equation T = (3a + b)/2 for a. 10. Factor completely: x³ + 1. For problems 11 13, solve each equation, inequality or system of equations. ...

... b) Explain how to apply substitution in solving a system of equations. Substituting method involves following steps 1)Reduce any of the equation in such a way ...

... 6, the extracted values are x = 2, y = -3 For equation 2x + 3y = 6, the extracted values are x = 3, y = 2. (The plot the graph for the two equations is shown in ...

First order differential Equations, partial DE's. 1. Find solutions to the given Cauchy- Euler equation (a) xy'+ y =0 (b) x2y'' + xy'+y =0 ; y(1) =1, y'(1) =0. ...

... of equations, then goes on and shows in detail how to solve the specific equation, including the methods to solve the ordinary differential equations we need ...

Solving a Heat Equation. Solve the following PDE: ... The heat equation is is integrated in this solution. The heat equation is: 2u u (1.1) t 2 x. ...

... 6 3. -6 6. -6 44. Here one equation is the scalar multiple (2) of the other. Therefore, they are the same equations and therefore have infinite solutions. 45. ...