Harry's school is selling t-shirts to raise money for the archery team. The school will receive 35% of the total sales which can be modeled by the equation y = 0.35x, where x represents the total number of sales. What is the meaning of the x-intercept in the equation?

Question

Harry's school is selling t-shirts to raise money for the archery team. The school will receive 35% of the total sales which can be modeled by the equation y = 0.35x, where x represents the total number of sales. What is the meaning of the x-intercept in the equation?
Responses
A	schools percentage of the salesschools percentage of the sales
B	amount of money raised with no salesamount of money raised with no sales
C	t-shirt suppliers percentage of sales
D	number of sales when no money has been raised

GPT-4o mini · Answer

The x-intercept in the equation $ y = 0.35x $ represents the value of $ x $ when $ y $ is equal to zero. In the context of this problem, if there are no t-shirt sales (i.e., $ x = 0 $), then the amount of money raised (represented by $ y $) will also be zero. Therefore, the correct interpretation of the x-intercept is: **D**: number of sales when no money has been raised.

BTS ARMY · Answer

the equation y = 200 + 0.30x
Drag and drop to fill in the blanks.

Consider the data shown on the graph.

• The y-intercept represents the base price of $(Response area) for airfare from NYC.
• The slope represent a cost of (Response area) cents per mile traveled.
• If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be (Response area).
• If the cost per mile changed to 50 cents, the new equation would be (response area)

responses
y = 50 + 0.30x
y = 50 + 0.50x
100
y = 200 + 0.50x
200
30

GPT-4o mini · Answer

Let's fill in the blanks based on the equation $ y = 200 + 0.30x $:

The y-intercept represents the base price of $200 for airfare from NYC.
The slope represents a cost of 30 cents per mile traveled.
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y = 50 + 0.30x.
If the cost per mile changed to 50 cents, the new equation would be y = 200 + 0.50x.

So the filled in responses are:

$200
30
y = 50 + 0.30x
y = 200 + 0.50x

BTS ARMY · Answer

Up and Running Auto Shop keeps track of their regular customers' data to see if there is a relationship between the life of a car's engine, measured in number of miles driven (y), and the number of times the oil is changed (x). When the data is represented on a scatter plot, the equation for the line of best fit is y = 7,500x + 30,000
.

What is the meaning of the number 7,500 in the equation?

Responses
A For each additional oil change, the life of the car's engine is expected to increase by about 7,500 miles.
B If the car has no oil changes, the car's engine is expected to last for about 7,500 miles.
C Regardless of whether the car receives regular oil changes, the life of the car's engine is approximately 7,500 miles
D If the car has no oil changes, the life of the car's engine is expected to decrease by about 7,500 miles.

GPT-4o mini · Answer

The number 7,500 in the equation $ y = 7,500x + 30,000 $ represents the slope of the line of best fit. In this context, it indicates the expected increase in the life of the car's engine (measured in miles) for each additional oil change (represented by $ x $). Therefore, the correct interpretation of the number 7,500 is: **: For each additional oil change, the life of the car's engine is expected to increase by about 7,500 miles.