At a grocery store, a certain type of tomato sells for $0.79 per pound, and a certain type of orange sells for $0.59 per orange.
Mike says that the cost of each product can be modeled by proportional functions. Which statement is NOT a reason why Mike is correct?
2 answers:
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Given:
The volume of water in a tank is modeled by the function
where, x is the number of minutes after the faucet filling the tank is turned on.
To find:
The y-intercept and what does it represent in this context?
Solution:
We have,
Substituting x=0, we get
Therefore, the y-intercept is 2 and it represents the volume of water in a tank before the faucet filling the tank is turned on.
Answer:
The correct answer is:
Step-by-step explanation:
As stated in the question that x represents the number of minutes his <em>normal</em> commute takes. Here the keyword is normal; in the <em>normal</em> commute, Ken takes side streets instead of the toll road.
However, in this scenario, we have to come up with the equation that takes Ken's commute via <em>toll road</em>.
Ken can travel 3 times faster by taking the toll road (Given), which can be represented in the mathematical terms in terms of x as follows:
<em>Without considering Ken getting late, </em>the equation would become the following:
--- (A)
<em>As Ken is leaving late</em>, we have to incorporate that time as well by <em>adding</em> it in the aforementioned equation (A).
In this case, it's 20 minutes; therefore, the equation (A) will become:
Hence, the correct answer is .