<h3><em><u>The equation to find the number of hours for which the total cost will be the same for the two services is:</u></em></h3><h3>12 + 5h = 18 + 3h</h3>
<em><u>Solution:</u></em>
Let "h" be the number of hours
Given that,
<em><u>Derrick's Dog Sitting charges $12 plus $5 per hour</u></em>
Cost : 12 + 5(number of hours )
Cost : 12 + 5h ---------- eqn 1
<em><u>Darlene's Dog Sitting charges $18 plus $3 per hour</u></em>
Cost: 18 + 3(number of hours)
Cost: 18 + 3h ---------- eqn 1
<em><u>For eqn 1 = eqn 2, the number of hours for the total cost will be the same for the two services</u></em>
Therefore,
12 + 5h = 18 + 3h
Thus option A is correct
Answer:
Option D <em>The pattern is multiplicative because the earnings are 12 times the number of hours worked in each pair of values </em>is correct option.
Step-by-step explanation:
At x-axis we have number of hours worked and y-axis represents earnings in dollars.
We can make the table:
Number of hours worked (x) earnings in dollars (y)
1 12
2 24
3 36
4 48
5 60
Now, we need to find the pattern.
If we add 1+ 11 we get 12, but if we add 2+ 11 we get 13 and not 24 so, the pattern is not additive.
Now, if we multiply 1 by 12 (1 x 12) we get 12,
then 2 x 12 = 24
3 x 12 = 36
4 x 12 = 48
and 5 x 12 = 60
The same number if multiplied with x-axis we get y-axis.
So, the pattern is multiplicative. and we are multiplying 12 with the number of hours worked, so the correct option is option D.
Option D <em>The pattern is multiplicative because the earnings are 12 times the number of hours worked in each pair of values </em>is correct option.
Answer:
D
Step-by-step explanation:
We can tell that the final number must be -2 from the graph. This means we can cross off A and C. We can also tell that 2/3 must be negative since the graph curves downwards.
Please see attached image with my answer.
Answer:
y = x + 3
y = 3x²
y = 
Step-by-step explanation:
Relationship1
y = x + 3
y = (0) + 3 = 3
y = (1) + 3 = 4
y = (2) + 3 = 5
Relationship 2
y = 3x²
y = 3(0)² = 0
y = 3(1)² = 3
y = 3(2)² = 3(4) = 12
Relationship 3
y = 
y = 
y = 
y = 