Group
The bar graph shows the estimated number of calories per day needed to maintain energy balance for various
gender and age groups for sedentary lifestyles (Sedentary means a lifestyle that includes only the light physical Calories Needed to Maintain Energy Balance for Sedentary Lifestyles
activity associated with typical day-to-day life.) The mathematical model F= -83655x623 describes the
3200, Females
Males Group 3
number of calories needed per day. F. by females in age group x with sedentary lifestyles. According to the
24004
Group 2 2206 2394 2209
any calories per day are needed by females between the ages of 31 and 50, inclusive, with this
Group 1, c 1800 1919 1843 175
1753
lifestyle? Does this underestimate or overestimate the number shown by the graph? By how much?
1487
Group Group 6
2002
Calories per Day
1600/
101
500
31-50
51+
9-13 14-18 19-30
Age Range
According to the model, how many calories per day are needed by females between the ages of 31 and 50, inclusive, with this lifestyle?

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)

Which of the following is the maximum value of the equation y=-x^2+2x+5 a. 5 b. 6 c. 2. d. 1