Answer:
a) For a constant increment in x-variable, there is a constant increment in y-variable, for example, for x = 0 to x = 0.5 (increment = 0.5) y-variable goes from 60 to 62 (increment = 2); the same is valid for any couple of (x,y) values. This behaviour is characteristic of linear equations.
b) slope:
m = (increment in y-variable)/(increment in x-variable) = 2/0.5 = 4
y-intercept:
y1 = m*x1 + h
60 = 4*0 + h
60 = h
equation: y = 4x + 60
where y represents scores and x represents hours spent studying
c) The slope indicates that you need to study 1 hour to increase your score in 4 points
The y-intercept indicates that you will get at least a score of 60, even though you hadn't studied
(L · W · 2) + (perimeter of the base · height). For this prism, that's (2 cm · 3 cm · 2) + (2 cm + 2 cm + 3 cm + 3 cm) · 6 cm. This is (12 cm2) + (10 cm · 6 cm) = <span>72 cm2.</span>
the answer to the problem is c
