Interpreting exponential parameters is a grade 9 math skill aligned to Common Core standard HSF.LE.B.5. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 interpreting exponential parameters problems our math games drill.
CCSS HSF.LE.B.510 questions in the bank
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1
Warm-upeasy
The function g is defined by g(n)=80(1.12)n. The function models the price, in dollars, of a limited-edition poster n years after it was first sold. Which statement is the best interpretation of the growth factor 1.12 in this context?
The growth factor is 1.12. Each time n increases by 1, the price is multiplied by 1.12. That means each year the price is 112% of the previous year's price, a 12% increase.
2
Mid-gameeasy
The function p is defined by p(w)=1,250(1.04)w. The function models a savings balance, in dollars, w weeks after an account is opened. Which statement is the best interpretation of 1,250 in this context?
When w=0, p(0)=1,250. So $1,250 is the balance when the account is opened.
3
Mid-gameeasy
The function r is defined by r(t)=60(1.09)t. The function models the number of registered runners in a charity race t years after the first race. Which statement is the best interpretation of the growth factor 1.09 in this context?
The growth factor is 1.09. Each time t increases by 1, the number of runners is multiplied by 1.09. That means each year the number of runners is 109% of the previous year's number, a 9% increase.
4
Mid-gameeasy
The function m is defined by m(d)=500(0.92)d. The function models the mass, in grams, of a sample d days after a reaction begins. Which statement is the best interpretation of the decay factor 0.92 in this context?
The decay factor is 0.92. Each time d increases by 1, the mass is multiplied by 0.92. That means each day 92% of the previous day's mass remains, so the mass decreases by 8% of the previous day's amount.
5
Mid-gameeasy
The function v is defined by v(y)=18,000(0.88)y. The function models the value, in dollars, of a used scooter y years after it is purchased. Which statement is the best interpretation of 18,000 in this context?
When y=0, v(0)=18,000. So $18,000 is the value of the scooter when it is purchased.
6
Mid-gameeasy
The function c is defined by c(x)=40(1.25)x. The function models the number of colonies of bacteria x hours after a culture is started. Which statement is the best interpretation of the growth factor 1.25 in this context?
The growth factor is 1.25. Each time x increases by 1, the number of colonies is multiplied by 1.25. That means each hour the number of colonies is 125% of the previous hour's number, a 25% increase.
7
Mid-gameeasy
The function s is defined by s(t)=90(0.60)t. The function models the number of songs still on a playlist t weeks after a cleanup begins. Which statement is the best interpretation of the decay factor 0.60 in this context?
The decay factor is 0.60. Each time t increases by 1, the number of songs is multiplied by 0.60. That means each week 60% of the previous week's songs remain.
8
Buzzer beatereasy
The function b is defined by b(k)=15(1.06)k. The function models the number of birdhouses in a park k years after a volunteer project begins. Which statement is the best interpretation of 15 in this context?
When k=0, b(0)=15. So 15 is the number of birdhouses when the volunteer project begins.
Tests that cover interpreting exponential parameters: