A cab company charges $12 per mile for a lift to the airport. What change would the company make to their charges to make this a non proportional situation?
• Charge $15 per mile instead of $12
• Charge a flat rate of $20 and then $12 per mile
• Charge $4 per mile instead of $12
• No changes are needed.
The correct answer is: Charge a flat rate of $20 and then $12 per mile.
Currently, the cab company charges a flat rate of $12 per mile for a lift to the airport, which means the cost increases in direct proportion to the number of miles traveled. However, to make the situation non-proportional, the company would introduce a fixed fee regardless of the distance traveled.
By charging a flat rate of $20 and then an additional $12 per mile, the total cost would no longer be solely dependent on the number of miles, but also include a fixed fee component. Therefore, this change would make the situation non-proportional.
6. One business charges $22 per t-shirt that is custom made.
Another business charges $16 per t-shirt plus a $15 set up fee for custom made t-shirts.
How would you transform the first graph to make it become a non proportional graph with the same y-intercept as the second graph?
(1 point)
Responses
Down 4
Down 4
Left 15
Left 15
Up 4
Up 4
Down 15
Down 15
Up 15
Up 15
Right 4
To transform the first graph to make it become a non-proportional graph with the same y-intercept as the second graph, you would move the graph "left 15".
The second graph includes a $15 set up fee in addition to the $16 per t-shirt charge. By moving the first graph "left 15", you are essentially introducing a fixed fee of $15 to the cost of each t-shirt, making the situation non-proportional. This aligns with the pricing structure of the second business.
7. Solve this equation for y: 7y=12x
(1 point)
Responses
y=712x
y is equal to 7 over 12 x
y=12x+7
y is equal to 12 x plus 7
y=127x
y is equal to 12 sevenths x
y=12x−7
The correct answer is: y = 12x/7
To solve the equation 7y = 12x for y, divide both sides of the equation by 7. This gives us:
(7y)/7 = (12x)/7
Simplifying, we get:
y = 12x/7
7. Solve this equation for y: 7y=12x
(1 point)
Responses
y=7/12x
y is equal to 7 over 12 x
y=12x+7
y is equal to 12 x plus 7
y=12/7x
y is equal to 12 sevenths x
y=12x−7
Apologies for the confusion in my previous response. The correct answer is:
y = 12x/7
To solve the equation 7y = 12x for y, you divide both sides of the equation by 7.
(7y)/7 = (12x)/7
This simplifies to:
y = 12x/7
7. Solve this equation for y: 7y=12x
(1 point)
a. y=7/12x
b. y=12x+7
c. y=12/7x
d. y=12x−7
The correct answer is:
c. y = 12/7x
To solve the equation 7y = 12x for y, divide both sides of the equation by 7:
(7y)/7 = (12x)/7
Simplifying, we get:
y = 12/7x
Change the equation from standard form to slope-intercept form by solving for y.
8x−4y=24
Determine who changed the equation correctly:
Bob:
Subtract 8x from both sides: −4y=−8x+24
Divide by -4 on both sides: y=2x−6
Bill:
Subtract 8x from both sides: −4y=16x
Divide by -4 on both sides: y=−4x
Bud:
Subtract 8x from both sides: −4y=−8x+24
Divide by -4 on both sides: y=2x+24
(1 point)
Responses
Bill
Bill
Bob
Bob
Bud
Bud
None of them are correct