Y-intercept occurs at x = 0 because x = 0 is where the y-axis is.
Set x = 0 to find the y-intercept value.
the "constant multiplier" is the number that the exponent is on. it is called this because that is the repeated multiplication factor ( example: 2² = 2 · 2 and 2³ = 2·2·2 so it's a constant multiplication)
a. for y = 3 · 6^x, y-intercept is
y = 3 · 6^0
anything to power of 0 is just 1 so we're left with
y = 3 ⇒ y-intercept is 3
Constant multiplier is 6 (exponent on 6)
b. for y = 3/4 · 8^x, the y-int is
y = 3/4 · 8^0 = 3/4 ⇒ y-intercept is 3/4
Constant multiplier is 8
c. for y = 3600 · (1/2)^x, the y-intercept is
y = 3600 · (1/2)^0 = 3600 ⇒ y-intercept is 3600
Constant multiplier is 1/2
Answer:
c
Step-by-step explanation:
The temp after 15 minutes is 225 degrees because the initial temp plus the rate time the number of minutes gives the current temp. in this case, 75 + 10(15) = 225
therefore, the temp after t minutes can be represented by the equation f(x) = 10t + 75
Answer: $543.7325
Step-by-step explanation:
room rate = $99.95 / night
Tax fee = 7% of room rate
Therefore, tax fee = 7% of $99.95
Tax fee = 0.07 × $99.95
Room charge =[$99.95 + 0.07($99.95)]
Room charge = 1.07($99.95) per night
Additional onetime untaxed fee = $9
Therefore for 5 nights :
Room charge = 5×[1.07($99.95)] +
Total room charge = 5×[1.07($99.95)] + one time untaxed fee
Total room charge = 5×[1.07($99.95)] + $9
= $543.7325
