# 4 math questions

Four questionsMust get an AShow all workNeed in 3 hours or asap1. An item that sells for \$145.99 has a sales tax of \$10.22.a. Find a mathematical model that gives the amount of sales tax y in terms of the retail price x.b. Use the model to find the sales tax on a purchase that has a retail price x.2. A manufacturer pays its assembly line workers \$11.50 per hour. In addition, workers receive a piecework rate of \$0.75 per unit produced. Write a linear equation for the hourly wages W in terms of the number of units X produced per hour.3. A salesperson receives a monthly salary of \$2500 plus a commission of 7% of sales. Write a linear equation for the salesperson’s monthly wage W in terms of the person’s monthly sales S.4.The cost of implementing an invasive species management system is related to the area of the forest. It costs \$630 to implement the system in a forest area of 10 acres. It costs \$1070 in a forest area of 18 acres.a. Write a linear equation giving the cost of the invasive species management system in terms of the number of acres X of forestb. Use the equation in part (a) to find the cost of implementing the system in a forest area of 30 acres.