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Pete took $3$ history tests last quarter. For the first test, he studied for $65$ minutes and scored $87\%$. For the second test, he studied for $45$ minutes and scored $73\%$. For the third test, he studied for $80$ minutes and scored $98\%$. Is the relationship between the amount of time Pete studied and the resulting test score a linear relationship?$\newline$Choices:$\newline$(A)yes$\newline$(B)no$\newline$Now, justify your answer.$\newline$Choices:$\newline$(A)The longer Pete studied, the better his test score.$\newline$(B)Pete's test scores increased by $7$ points for every additional $10$ minutes of study time.$\newline$(C)The increase in Pete's test score for every additional minute of study time is not constant.$\newline$(D)Pete's test score decreased from the first test to the second test and then increased from the second test to the third test.