Answer: Mika has not described a proportional relationship. Although it is a linear function, it does not pass through the origin.
Step-by-step explanation: if you place those points on a graph, they do create a linear function; the line just doesn't pass through the origin.
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
She walks 880 yards. Since half a mile is 880 yards.
Answer This idea can be used to write even larger numbers down easily in standard form. Small numbers can also be written in standard form.
Step-by-step
3 x 2 − 7 + 4 x 3 + x 6 The highest degree is 6, so that goes first, then 3, 2 and then the constant last:
