A local race for charity has taken place since 1993. Using the actual speeds of the winners from 1993 through 1998, mathematicians obtained the formula , in which x represents the number of years after 1993 and y represents the winning speed in miles per hour. In what year is the winning speed predicted to be 7.4 mph?

Here is a similar question attached with.

Option (b) that is 2005 is the right choice.

Step-by-step explanation:

Given:

An equation in slope intercept form.

Where = number of years

Comparing from the standard slope intercept form.

y-intercept value

According to the question the predicted winning speed mph

Plugging the value of in slope intercept form, we will calculate the (number of years) and then we will add this with .

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Finally the year would be  

So in year 2005 the winning speed is predicted to be 7.16 mph.

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.