Exam 6: Topics in Algebra

Graph the parabola

A community college has 3,000 students and 90 instructors. The college plans that enrollment will Be 3,500 next year. How many new instructors should be hired if the college wants to keep the Same student to instructor ratio?

The homecoming committee is blowing up balloons for the big dance on Saturday. Thirty balloons Have already been inflated, and now the next shift comes in and is able to blow up 60 balloons per Hour. Assuming they continue at this rate, write a linear equation that describes the total number of Balloons blown up in terms of hours and use the equation to find out how many hours it will take Them to reach their goal of having 270 balloons.

Write the equation in the slope-intercept form.

The percentage of an adult population that smokes can be modeled by the function P(x)whose graph Is shown below. The input x is years after 1955. In what years was the percentage of nonsmokers less than 60?

A newspaper advertisement costs $5.00 per week to run the ad plus a setup charge of $30.00. Find The cost of running the ad for 5 weeks.

Find the domain and range of the function.

Find the slope.

At a certain restaurant, one out of every 8 customers orders a hamburger. If the restaurant has 200 Customers in one day, how many hamburgers will they sell?

Graph

Solve the proportion.

Write the ratio as a fraction and reduce to lowest terms. 3 to 7

Using the formula , find the worth of a $900 bond after 2 years if the bond collects interest at a rate of 3%, calculated quarterly.

The larger of two numbers is 5 more than the smaller number. The sum of the numbers is 13. Find the numbers.

The amount of revenue a company makes per day by selling x items is given by the function . How many items should be sold if the company wants to maximize their profit?

If everyone had the same body proportions, your weight in pounds would vary directly with the cube Of your height in feet. Assume the average height and weight of a female in your math class is 5'5" And 130 pounds. Use this information to write a variation equation then use it to find the weight of the female Below if they had the same body type as the average female. Round answer to the nearest pound. Kelly 5'2"

Write in symbols: 9 less than a number.

Plot (-4, 0)on the Cartesian plane.

Graph .

Write in symbols: A number divided by 3.