Rocky has 7 bottles of water. he will buy bottles of water from the store. the store
has 8 cases in stock and each case contains 24 bottles of water. the store will not
sell partial cases. the function that models the number of bottles of water rocky
will have after his purchase is f(c)= 24c + 7. where c is the number of cases
of water he buys.
what is the theoretical domain of the function?

all real numbers

all real numbers from 1 to 8, inclusive

{31, 55, 79, 103, 127, 151, 175, 199}

all integers from 1 to 8, inclusive

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.