Let S(t) be the number of students enrolled in a school district in terms of the number of years, t, after 2000. Which statements regarding function S are true? Select TWO that apply.
S(15) − S(10) = −40 means that there were 40 fewer students in 2010 than there were in 2015.
S(5)= 2,024 means that there were 2,024 students in the year 2005.
S(3)= 2,015 means that there were 3 students in the year 2015.
S(10)=S(5) means that there were the same number of students in 2010 as in 2005.
S(0) = 2,000 means that there were no students in the year 2000.
The true statements are:
1. S(5) = 2,024 means that there were 2,024 students in the year 2005.
2. S(0) = 2,000 means that there were no students in the year 2000.
Put the items in order from least steep to steepest rate of change.
A. f(t)= −6.2x + 2.9
B. Michele has $125. She plans to spend $10 per week until she has a total of $75.
C. Elisa's puppy weighed 4 pounds when it was born. It gained 5 pounds per month until it was 9 months old.
D. g(x) = 8.1x + 45.64
The items in order from least steep to steepest rate of change are:
B. Michele has $125. She plans to spend $10 per week until she has a total of $75.
A. f(t)= -6.2x + 2.9
D. g(x) = 8.1x + 45.64
C. Elisa's puppy weighed 4 pounds when it was born. It gained 5 pounds per month until it was 9 months old.
Which descriptions of this function are true? (0,7) (4,4). Select 4 that apply.
The function is increasing
y = 7x - 3/4 represents this function.
The slope of the function is -4/3 and the y-intercept is 9.
The function is decreasing
y = -3/4x + 7 represents this function
The function is linear and continuous.
y = -4/3x + 9 represents this function.
The function is linear and discrete.
The slope of the function is -3/4 and the y-intercept is 7.
The descriptions that are true for the function with the points (0,7) and (4,4) are:
1. The function is increasing.
2. y = -3/4x + 7 represents this function.
3. y = -4/3x + 9 represents this function.
4. The slope of the function is -3/4 and the y-intercept is 7.
Which function has the greatest slope?
g(x) = x + 3
f(x) = x
h(x) = x - 2
k(x) = x - 4
All of the slopes are the same
All of the functions have a slope of 1 because the coefficient of x is 1 in each case. Therefore, all the slopes are the same.
Adam calculates his annual salary (base pay and commission), y, using the model y = 0.28x + 38,000, where x represents his total sales for the year. What is the meaning of the y-intercept in the model?
the y-intercept represents Adam's base pay
the y-intercept represents the highest salary Adam can earn
the y-intercept represents Adam's total sales when he earned no commission
the y-intercept represents Adam's commission pay when he had zero total sales
The y-intercept in the model y = 0.28x + 38,000 represents Adam's base pay, which is $38,000 when he had zero sales or earned no commission. So, the correct interpretation is: the y-intercept represents Adam's base pay.
A line is parallel to the x-axis on a coordinate plane. Which best describes the slope of the line?
positive
negative
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zero