Your teacher asked the class to describe a real-work situation in which the y intercept is 100 and the slope is 5. Your pattern gave the following description. My younger brother originally had 100 small building blocks, but he has lost 5 of them every month since. What mistake did your partner make?
y = 5 x + 100
your brother has the sign of the slope wrong
thank you for your help to this question even though this is not enough to help me but thank you for your help.
From the given situation, it seems like your partner misunderstood the concept of the slope and the y-intercept.
In the context of a linear equation (y = mx + b), the y-intercept (b) represents the value of y when x is equal to 0. In this case, the y-intercept is 100, which means that the initial value of y (or the quantity in the situation) is 100 when x (or the time in the situation) is 0.
The slope (m) represents the rate of change of y with respect to x. In other words, it indicates how much y changes for each unit increase in x. In this case, the slope is 5, indicating that for every unit increase in x (month), the quantity (y) decreases by 5.
Therefore, the correct interpretation of the given linear equation (y = 5x + 100) in the context of your partner's situation would be that your younger brother initially had 100 building blocks, and he loses 5 of them every month.