Hi please help ): picture is included
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Answer:
d = 40 + 65t
Step-by-step explanation:
Cameron, 2 hours after filling his gas tank, checks his distance from home and 3 hours later he checks again. After the 2 hours he checked, he was 170 miles from home. Then 3 hours later, he was 365 miles from home.
Therefore, since getting gas at time(t) = 2 hours, distance from home (d) = 170 miles and at t = (2 + 3) = 5 hours, d = 365 miles.
Therefore, the equation that models the situation is
⇒ d - 365 = 65(t - 5)
⇒ d - 365 = 65t - 325
⇒ d = 40 + 65t (Answer)
When we make the x the subject, we are "solving for x"
A. x = y + 4
Given: y = 2x - 9
Add 9 to both sides (flipping the equation, but it is still equivalent): 2x = y + 9
Dividing both sides by 2: x = y + 4
B. x = 4y - 28
Given: y = + 7
Subtract 7 from both sides: y - 7 =
Multiply both sides by 4 (flipping the equation, but it is still equivalent): x = 4y - 28
C. x = 2y - 6
Given: y =
Multipy both sides by 2: 2y = x + 6
Subtract 6 from both sides of the equation (flipping the equation, but it is still equivalent): x = 2y - 6
D. x = y
Given: y =
Multiply both sides by 4 (flipping the equation, but it is still equivalent): 3x = 4y
Divide both sides by 3: x = y
E. x =
Given: y = x² + 11
Subtract 11 from both sides: y - 11 = x²
Square root both sides (flipping the equation, but it is still equivalent): x =
F. x = y²
Given: y =
Square both sides: y² = 2x
Flip the equation (still equal) and divide both sides by 2: x = y²
Have a nice day! Sorry that this is long, there is a lot to say haha!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather