CAPT Practice Grid In Questions

Salary Julio interviews for two jobs. Both jobs offer him a starting salary of $20,000, but the first job includes a $1,030 raise every year, while the second job includes a 5% raise every year. After how many years will the salary for the second job exceed the salary of the first job?

Salary YearSalary ASalary B 120, ,030X ,03021, ,030X ,06022, ,030X ,09023, The 2 nd salary will be higher at the 4 th year.

Stopping Distance The relationship between the distance d (in feet) required to stop a vehicle and s (in miles), the speed per hour that the vehicle was traveling, is given by the equation where f represents the coefficient of friction between the tires and the road. It took a car 205 feet to stop. What speed was the car traveling? Use f = 0.3 and round your answer to the nearest mile per hour.

Stopping Distance It took a car 205 feet to stop. Use f = 0.3 Start with the formula. Substitute the given values.

Stopping Distance What speed was the car traveling? 0.3 x x = s = s 2 S = 19.9

Bloodhound The bloodhound has 4.0 x 10 9 scent receptors. A human has 1.2 x 10 7 scent receptors. How many times more scent receptors does a bloodhound have than a human? 4.0 x x =x = x 10 2 = 333

World Population In recent years the world’s population has increased at a rate of approximately 10,900 people per hour. This number is equal to how many people per second? 1 hour = 60 minutes 1 minute = 60 seconds 1 hour = 3600 seconds

World Population 10,900 people per hour is equal to how many people per second? 10,900 people 1 hour 1 hour 3600 seconds 1 hour = 3600 seconds x 10,900 people 3600 seconds = 3.02 people per second = 3 people per second

Soup Can Latitia’s Foods is introducing a new line of soups. The soups will be sold in cans that are 4 inches tall and have a diameter of 3 inches. The labels will wrap around the entire outside of each can, excluding the top and bottom.

Soup Can Distance around the can = Circumference = d ∏ Label is a rectangle so area = length x width Circumference = 3∏ = 3(3.14) = 9.42 Area = 9.42 x 4 =37.68 in 2 = 37.7 in 2

Hot Air Balloon What is x, the distance from the balloon to the ground? Pythagorean Theorem: a 2 + b 2 = c 2 where c is the hypotenuse c b a a 2 + b 2 = c 2 x = x = x 2 = 3375 x = x = 58.1

Radio Station Radio station K101 plays Shari’s favorite song 5 times each day between 9:00 A.M. and 5:00 P.M. Her favorite song is 4 minutes long. If Shari tunes her radio to K101 at any time between 9:00 A.M. and 5:00 P.M., what is the probability that her favorite song will be playing?

Radio Station 4 minutes and plays 5 times between 9:00 A.M. and 5:00 P.M. 4 x 5= 20 minutes 8 hoursx 60 =480 minutes

Radio Station Shari’s favorite song plays for 4 minutes, five times for 20 minutes out of the 480 minutes between 9am and 5pm. The probability it will be playing is Part 20 1 Whole = = = 0.04

Milkshake Survey The ice cream shop is giving away 240 free milkshake coupons to the students of the same high school at an upcoming school football game. Predict how many banana shakes the ice cream shop will give away if all the coupons are used = Students chose Banana x 240 =

Milkshake Survey Predict how many banana shakes the ice cream shop will give away if all the coupons are used x 240 = 71x = 17(240) 71x = 4080 x = Banana Shakes

Crater Lake Crater Lake’s 33-mile Rim Drive is popular with cyclists. The graph shows the elevation change between key points of interest along Rim Drive.

Crater Lake The graph shows the elevation change. How many miles of Rim Drive are downhill? 7 to to to = 20 Miles are Downhill

CD Price The regular price of a certain CD is $ It is on sale this week for 10% off. Next week it will be on sale for 25% off the regular price. How much less will it cost next week than this week? 10 X = 180 = 100x X = $1.80 (Discount) Sale Price = – 1.80 = $16.20

CD Price Next week it will be on sale for 25% off the regular price. 25 X = 450 = 100x X = $4.50 (Discount) Sale Price = – 4.50 = $13.50

CD Price How much less will it cost next week than this week? Sale Price This Week = $16.20 Sale Price Next Week = $13.50 $ $13.50 = $2.70 It will cost $2.70 less next week than It costs this week.

Hugo’s Pizza Hugo ordered two circular pizzas, each with a diameter of 10 inches. Greg ordered one circular pizza with an area equal to the sum of the areas of Hugo’s two pizzas. What was the diameter of Greg’s pizza? Formula for Area of a Circle: A = ∏r 2 r = d/2 10/2 = 5 is the radius A = (3.14)(5) 2 A = 78.5 x 2 = 157 in 2

Hugo’s Pizza Greg ordered one circular pizza with an area equal to the sum of the areas of Hugo’s two pizzas. What was the diameter of Greg’s pizza? Formula for Area of a Circle: A = ∏r = (3.14)(r) 2 Area = 157 in = (3.14)(r) = r 2 r = 7.07 Diameter = 2r = 14.14in

Radioactive Substances Radioactive substances decay resulting in a change in mass over time. The relationship of mass and time for a particular radioactive substance is shown in the graph below.

Radioactive Substances How many milligrams of this radioactive substance would you expect to be present after 40 minutes of decay?

Radioactive Substances How many milligrams of this radioactive substance would you expect to be present after 40 minutes of decay? About 2/3 of the first box 2/3 of 10 = 6.7mg