Bridges have spaces between their sections to allow for expansion and contraction caused by temperature variation. This space is known as the gap width. The size of the gap width w(T), in inches, is a linear function of temperature T, in degrees Fahrenheit (°F). For a certain bridge, the gap width is 2.875 inches at 40°F and is 1.875 inches at 100°F. Which of the following defines the relationship between temperature and gap width?

Each year the value of an investment increases by 2.5% of the previous year's value. The initial value of the investment was $500. Which equation gives the value of the investment y, in dollars, x years after the initial investment was made?

Which of the following is equivalent to the expression x⁴ - 8x² + 16?
I. (x + 2)² (x - 2)²
II. (x² - 4)²

In the figure shown, point O is the center of the circle. One vertex of the square lies on the circle, and the opposite vertex is point O. If the area of the shaded region is 36 $straight pi$ -18, what is the perimeter of the square?

3x² + x -2 = 0
The solutions to the quadratic equation above are a and b. What is the value of a + b ?

x+2y=10
2x - y = 5
The solution to the given system of equations is (x, y). What is the value of 3x + y ?

If 7x + 21 = -2, what is the value of x + 3 ?

For the linear function f, f (2) = 10 and the graph of y = f(x) in the xy-plane has a slope of 3. Which equation defines f?

The scatterplot shows the relationship between two variables, x and y. A line of best fit is also shown.

What is an equation of the line of best fit?

When a buffet restaurant charges $12.00 per meal, the number of meals it sells per day is 400. For each $0.50 increase to the price per meal, the number of meals sold per day decreases by 10. What is the price per meal that results in the greatest sales, in dollars, from meals each day?

Discount is the term used to describe the sum or portion subtracted from an item's usual selling price — a good or service's price decreases when given a discount. For instance, if the item breaks, we can ask the manager for a discount.
When a bond's price is expected to be less than its face value, it is known as a discount. Discounts are a form of product cost price reduction or deduction. When customers receive discounts on various things, it is frequently employed in consumer transactions. How to Find Discount
1.) The rate is frequently stated as a percentage.
2.) To calculate the discount, we must multiply the rate by the starting cost.
3.) To calculate the sale price, we must subtract the discount from the purchase price.
¶ Rate of Discount = Discount% = Discount List / Price×100.

When a buffet restaurant charges $12.00 per meal, the number of meals it sells per day is 400. For each $0.50 increase to the price per meal, the number of meals sold per day decreases by 10. What is the price per meal that results in the greatest sales, in dollars, from meals each day?

For the linear function, f, the table shows several values of x and their corresponding values of f(x). What is they-intercept of the graph of y = f(x) in the xy-plane?

The frequency table above shows the distribution of the actual number of fluid ounces of water in a random sample of 80 20-ounce bottles of the water at a bottling plant. Bottles are only sold if they contain at least 19.8 but no more than 20.2 fluid ounces of water. If the proportion of bottles that can be sold is the same for the sample and the 16,000 20-ounce bottles produced at the plant each day, how many of the 16,000 bottles cannot be sold?

A local restaurant gives teachers a 20% discount on all their meals. If a teacher pays $14.00 for a meal after the discount was applied, what was the price of the meal before the discount?

Haimi drove a car from West Union, Minnesota, through North Dakota, to Miles City, Montana. The total distance she traveled through each state is shown in the figure.

The distance d, in miles, Haimi drove as a function of the time t, in hours, since she started driving is modeled by the equation d = 60t.
What interval represents all values of t during which Haimi drove in North Dakota?

Haimi drove a car from West Union, Minnesota, through North Dakota, to Miles City, Montana. The total distance she traveled through each state is shown in the figure.

The distance d, in miles, Haimi drove as a function of the time t, in hours, since she started driving is modeled by the equation d = 60t.
According to the model, what distance, in miles, had Haimi driven 3 hours after she started driving?