A student is assessing the correlation between the average number of hours of internet browsing and average score on a math test. The table below shows the data: Number of hours
of internet
browsing
(x)
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
Score on math
test
(y)
95
94
93
92
91
90
89
88
87
86

A) There's a correlation between the average number of hours of internet browsing and scores on the Maths test.

B) Slope = -2

Slope is negative and so it tells us that there is a negative correction between the average number of hours of internet browsing and scores on the Maths test.

C) y-intercept = 95

This tells us that when students spend zero hours browsing, they score the highest scores in the Maths test.

Step-by-step explanation:

A) From the table of values, we see that when the number of hours of internet browsing is increasing by 0.5, the score on the Maths test is decreasing by 1.

Therefore we can say there's a correlation between the average number of hours of internet browsing and scores on the Maths test.

B) Slope is; (y2 - y1)/(x2 - x1)

Since there is an equal increment in x and y values through the table, we can use any two consecutive values of x and their corresponding y-values.

Thus;

Slope = (93 - 94)/(1 - 0.5)

Slope = -1/0.5

Slope = -2

C) y-intercept is the y-value at which x = 0.

From the table, we see that at x = 0, y = 95

This tells us that when students spend zero hours browsing, they score the highest scores in the Maths test.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

step-by-step explanation:

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