Write the word or phrase that best completes each statement or answers the quest

Question

Write the word or phrase that best completes each statement or answers the question. Solve the problem. Although the number of people arrested for arson has remained fairly constant during the 1990s, the percent of arson arrests that have been juveniles has been on the rise. The data is printed in the table below. (Source: U.S Justice Department Let p represent the percent of arson arrests that are juveniles at t years since 1990. The equation p = 1.831 + 44.76 models the data well. Use the linear model to predict when 75 percent of arson arrests that were juveniles in 1985. Find the 1-intercept. What does it mean terms of arson arrests? What in the slope of the equation p - 1.83t + 44.76? What does the slope represent in terms of arson arrests? Find the P-intercept. What does it mean in terms of arson arrests? Find P when t = 10. What does your result mean in terms of the situation? Find t when P = 100. What p = 100. What does your result mean in term of the situation? Solve, A truck rental company rents a moving truck one day by changing $35 plus $0.09 per rule. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven, . What is the cost of renting the truck if the truck is driven 150 makes? As investment is worth $3558 in 1993, By 1997 is has grown to $4162. Let y be the value of the investment in the year x, where x = 0 represents 1993. Write a linear equation that relates the value of the investment, y, to the year x. A faucet is used to acid water to a large bottle that already contained some water. After it has been falling for 4 seconds, the gauge on the bottle indicates that it contains 15 ounces of water. After it has been filling for 11 seconds, the gauge indicates the bottle contains 36 ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear equation that relates the amount of water in the bottle, y, to the time x. A vender has learned that, by piecing caramel apples at $1.50, sales will reach 133 caramel apples per day. Raising the price to $2.25 will cause the sales to fall to 103 caramel apples per day. Let y be the number of caramel apples the vender sells at x dollars each. Write a linear equation that relates the number of caramel apples sold per day price z.

Explanation / Answer

P = 1.83t + 44.76 , t is years since 1990.

i) P = 75 , find t:

75 = 1.83t +44.76; t = 16.52 = 17

So, year is 2007

ii) in 1985 ; t = -5

P = 1.83*(-5) +44.76 = 35.61 %

iii) t intercept , plug P=0

0 = 1.83*t +44.76

t = -44.76/1.83 = -24.45

means year 1965 % of arson arrest was zero.

iv) P = 1.83t + 44.76

slope = 1.83 .This means with every passing year % of arson arrest increased by 1.83%

v) P intercept ; plug t =0

P = 44.76 ; It means % pf arson arrest in 1990 was 44.76

vi) t =10 ; year 2000

P = 1.83*10 +44.76 = 63.06%

In the year 2000 , % of arson arrest was 63.06

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