24 and 13 and 55 on a number line
1 answer:
You might be interested in
Answer:
1, i) equation for Mike's Repair Shop = $65x + $100
ii) Amy's Auto Repair = $80x + $40
2. 65x + 100 = 80x + 40
3. x = 4
4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.
5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $803 + $40 = $280 and Mike's will cost = $65
3 + $100 = $295.
6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $806 + $40 = $520 and Mike's will cost = $65
6 + $100 = $490.
7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.
Step-by-step explanation:
i) x = number of hours worked
ii) y = total cost
1, i) equation for Mike's Repair Shop = $65x + $100
ii) Amy's Auto Repair = $80x + $40
2. 65x + 100 = 80x + 40
3. 15x = 60, therefore x = 4
4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.
5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $803 + $40 = $280 and Mike's will cost = $65
3 + $100 = $295.
6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $806 + $40 = $520 and Mike's will cost = $65
6 + $100 = $490.
7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.
Answer:
Step-by-step explanation:
The equation of a proportional relationship: y = mx.
METHOD 1:
We know: If x and y are in a proportional relationshi, then the ratio y/x is constant
We have P(3, 2) and Q(x, 6). Therefore
<em>cross multiply</em>
<em>divide both sides by 2</em>
METHOD 2:
<em>(look at the picture)</em>
The graph of y = mx is a straight line passes through the origin.
Step 1.
Plot point P(3, 2) on the graph.
Step 2.
Draw the line passes through he origin and point P.
Step 3.
Draw the line y = 6 <em>(6 from the coordinates of Q(x, 6))</em>
Step 4.
The intersection of lines is the point Q. Read the coordinte x.
