Answer
B
Detailed Explanation
Let's break down this question.
"The card was worth $50 when you got it"
+50
"Each day, you buy a drink for $3"
-3x
The equation that best correlates with the problem is B
Answer:
B. [tex]y=-3x+50[/tex]
Step-by-step explanation:
Let x be number of days and y be value of card.
It has been given that your parents gave you a gift card for your favorite coffee shop. The card was worth $50 when you got it. Each day, you buy a drink for $3.
We can see that value of card is dependent on number of days as value of card decrease by 3 each day. This means that slope of our line will be -3.
As initially you have $50, this means that y-intercept of our given line will be 50.
Since we know that equation of a line in slope-intercept form is: [tex]y=mx+b[/tex], where,
m = Slope of line.
b = y-intercept.
Upon substituting our given values in slope intercept form of equation we will get,
[tex]y=-3x+50[/tex]
Therefore, the equation [tex]y=-3x+50[/tex] shows the value on the gift card over time.
