Seth has swimming practice three days each week. This week Seth swam a total of 114 laps. At this rate, how many laps did Seth s
2 answers:
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Answer:
m = 1, y = 1
x + 10
Step-by-step explanation:
The equation of a line is y = mx + c where m is the slope and c is the y-intercept. I will be calculating the slope using the points (7, 2) and (0, 10)
m =
=
=
= 1
Based on the graph, the y-intercept is 10. Thus, the equation of the line is 1x + 10.
There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have
104 = 8•13
195 = 15•13
so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.
Then the sum we want is
or equivalently,
(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)
To compute these sums, recall the following formula:
Then
and
which means the sum we want is 14,950 - 1,196 = 13,754.